Given:The given expression is $x^4y^2 - x^2y^4 - x^4y^4$.To do:We have to factorize the expression $x^4y^2 - x^2y^4 - x^4y^4$.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $x^4y^2, -x^2y^4$ and $-x^4y^4$.The numerical coefficient of $x^4y^2$ is $1$The numerical coefficient of $-x^2y^4$ is $1$The numerical coefficient of $-x^4y^4$ is $1$This implies, HCF of $1, 1$ and $1$ is $1$The common variables in the given terms are $x$ and ... Read More

Given:The given expression is $2l^2mn - 3lm^2n + 4lmn^2$.To do:We have to factorize the expression $2l^2mn - 3lm^2n + 4lmn^2$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $2l^2mn, -3lm^2n$ and $4lmn^2$.The numerical coefficient of $2l^2mn$ is $2$The numerical coefficient of $-3lm^2n$ is $3$The numerical coefficient of $4lmn^2$ is $4$This implies, $2=2\times1$$3=3\times1$$4=2\times2$GCF of $2, 3$ and $4$ is $1$The common variable in the given terms is $l, m$ ... Read More

Given:The given expression is $a^4b - 3a^2b^2 - 6ab^3$.To do:We have to factorize the expression $a^4b - 3a^2b^2 - 6ab^3$.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $a^4b, -3a^2b^2$ and $- 6ab^3$.The numerical coefficient of $a^4b$ is $1$The numerical coefficient of $-3a^2b^2$ is $3$The numerical coefficient of $- 6ab^3$ is $6$HCF of $1, 3$ and $6$ is $1$The common variables in the given terms are $a$ and ... Read More

Given:The given expression is $28a^2 + 14a^2b^2 - 21a^4$.To do:We have to factorize the expression $28a^2 + 14a^2b^2 - 21a^4$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $28a^2, 14a^2b^2$ and $- 21a^4$.The numerical coefficient of $28a^2$ is $28$The numerical coefficient of $14a^2b^2$ is $14$The numerical coefficient of $- 21a^4$ is $21$This implies, $28=2\times2\times7$$14=2\times7$$21=3\times7$GCF of $28, 14$ and $21$ is $7$The common variable in the given terms is ... Read More

Given:The given expression is $2a^4b^4 - 3a^3b^5 + 4a^2b^5$.To do:We have to factorize the expression $2a^4b^4 - 3a^3b^5 + 4a^2b^5$.Solution:HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The highest common factor (HCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $2a^4b^4, - 3a^3b^5$ and $4a^2b^5$.The numerical coefficient of $2a^4b^4$ is $2$The numerical coefficient of $- 3a^3b^5$ is $3$The numerical coefficient of $4a^2b^5$ is $4$This implies, $2=2\times1$$3=3\times1$$4=2\times2$HCF of $2, 3$ and $4$ is $1$The common variables in the given terms are ... Read More

Given:The given expression is $10m^3n^2 + 15m^4n - 20m^2n^3$.To do:We have to factorize the expression $10m^3n^2 + 15m^4n - 20m^2n^3$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $10m^3n^2, 15m^4n$ and $- 20m^2n^3$.The numerical coefficient of $10m^3n^2$ is $10$The numerical coefficient of $15m^4n$ is $15$The numerical coefficient of $- 20m^2n^3$ is $20$This implies, $10=2\times5$$15=3\times5$$20=2\times2\times5$GCF of $10, 15$ and $20$ is $5$The common variables in the given terms are ... Read More

Given:The given expression is $2x^3y^2 - 4x^2y^3 + 8xy^4$.To do:We have to factorize the expression $2x^3y^2 - 4x^2y^3 + 8xy^4$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $2x^3y^2, -4x^2y^3$ and $8xy^4$.The numerical coefficient of $2x^3y^2$ is $2$The numerical coefficient of $-4x^2y^3$ is $4$The numerical coefficient of $8xy^4$ is $8$This implies, $2=2\times1$$4=2\times2$$8=2\times2\times2$GCF of $2, 4$ and $8$ is $2$The common variables in the given terms are $x$ and $y$.The power ... Read More

Given:The given expression is $20x^3 - 40x^2 + 80x$.To do:We have to factorize the expression $20x^3 - 40x^2 + 80x$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $20x^3, - 40x^2$ and $80x$.The numerical coefficient of $20x^3$ is $20$The numerical coefficient of $- 40x^2$ is $40$The numerical coefficient of $80x$ is $80$This implies, $20=2\times2\times5$$40=2\times2\times2\times5$$80=2\times2\times2\times2\times5$GCF of $20, 40$ and $80$ is $2\times2\times5=20$The common variable in the given terms is $x$The power ... Read More

Given:The given expression is $72x^6y^7 - 96x^7y^6$.To do:We have to factorize the expression $72x^6y^7 - 96x^7y^6$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $72x^6y^7$ and $- 96x^7y^6$The numerical coefficient of $72x^6y^7$ is $72$The numerical coefficient of $- 96x^7y^6$ is $96$This implies, $72=2\times2\times2\times3\times3$$96=2\times2\times2\times2\times2\times3$GCF of $72$ and $96$ is $2\times2\times2\times3=24$The common variables in the given terms are $x$ and $y$The power of $x$ in $72x^6y^7$ is $6$The power of $x$ ... Read More

Given:The given expression is $20a^{12}b^2 - 15a^8b^4$.To do:We have to factorize the expression $20a^{12}b^2 - 15a^8b^4$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $20a^{12}b^2$ and $-15a^8b^4$The numerical coefficient of $20a^{12}b^2$ is $20$The numerical coefficient of $-15a^8b^4$ is $15$This implies, $20=2\times2\times5$$15=3\times5$GCF of $20$ and $15$ is $5$The common variables in the given terms are $a$ and $b$The power of $a$ in $20a^{12}b^2$ is $12$The power of $a$ ... Read More