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Found 225 Articles for Class 8
53 Views
Given:The given expression is $ax^2y+bxy^2+cxyz$.To do:We have to factorize the expression $ax^2y+bxy^2+cxyz$.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 $ax^2y, bxy^2$ and $cxyz$.The numerical coefficient of $ax^2y$ is $1$The numerical coefficient of $bxy^2$ is $1$The numerical coefficient of $cxyz$ is $1$This implies, GCF of $1, 1$ and $1$ is $1$The common variables in the given terms are $x$ and $y$.The power of $x$ in $ax^2y$ is $2$The ... Read More
75 Views
Given:The given expression is $x^2yz+xy^2z+xyz^2$.To do:We have to factorize the expression $x^2yz+xy^2z+xyz^2$.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 $x^2yz, xy^2z$ and $xyz^2$.The numerical coefficient of $x^2yz$ is $1$The numerical coefficient of $xy^2z$ is $1$The numerical coefficient of $xyz^2$ is $1$This implies, HCF of $1, 1$ and $1$ is $1$The common variables in the given terms are $x, y$ and $z$.The power of $x$ in $x^2yz$ is ... Read More
72 Views
Given:The given expression is $-4a^2+4ab-4ca$.To do:We have to factorize the expression $-4a^2+4ab-4ca$.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 $-4a^2, 4ab$ and $-4ca$.The numerical coefficient of $-4a^2$ is $4$The numerical coefficient of $4ab$ is $4$The numerical coefficient of $-4ca$ is $4$This implies, GCF of $4, 4$ and $4$ is $4$The common variable in the given terms is $a$.The power of $a$ in $-4a^2$ is $2$The power of ... Read More
82 Views
Given:The given expression is $16m-4m^2$.To do:We have to factorize the expression $16m-4m^2$.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 $16m$ and $-4m^2$.The numerical coefficient of $16m$ is $16$The numerical coefficient of $-4m^2$ is $4$This implies, $16=2\times2\times2\times2$$4=2\times2$HCF of $16$ and $4$ is $2\times2=4$The common variable in the given terms is $m$.The power of $m$ in $16m$ is $1$The power of $m$ in $-4m^2$ is $2$The monomial of common ... Read More
56 Views
Given:The given expression is $9x^2y+3axy$.To do:We have to factorize the expression $9x^2y+3axy$.Solution:GCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest common factor (GCF) of those numbers is found by finding all common factors of the numbers and selecting the largest one.The terms in the given expression are $9x^2y$ and $3axy$.The numerical coefficient of $9x^2y$ is $9$The numerical coefficient of $3axy$ is $3$This implies, $9=3\times3$$3=3\times1$GCF of $9$ and $3$ is $3$The common variables in the given terms are $x$ and $y$.The power of $x$ in $9x^2y$ is $2$The power of $x$ in $3axy$ is $1$The power ... Read More
74 Views
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
32 Views
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
123 Views
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
154 Views
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
90 Views
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