Given:Given polynomials are $36a^2b^2c^4, 54a^5c^2$ and $90a^4b^2c^2$.To do:We have to find the greatest common factor of the given polynomials.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 ... Read More

Given:Given polynomials are $a^2b^3$ and $a^3b^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF/HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest/highest common factor (GCF/HCF) of those numbers is found by finding all common factors of the numbers ... Read More

Given:Given polynomials are $6x^2y^2, 9xy^3$ and $3x^3y^2$.To do:We have to find the greatest common factor of the given polynomials.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 ... Read More

Given:Given polynomials are $4a^2b^3, -12a^3b$ and $18a^4b^3$.To do:We have to find the greatest common factor of the given polynomials.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 ... Read More

Given:Given polynomials are $9x^2, 15x^2y^3, 6xy^2$ and $21x^2y^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF/HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest/highest common factor (GCF/HCF) of those numbers is found by finding all common factors of ... Read More

Given:Given polynomials are $12ax^2, 6a^2x^3$ and $2a^3x^5$.To do:We have to find the greatest common factor of the given polynomials.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 ... Read More

Given:Given polynomials are $42x^2yz$ and $63x^3y^2z^3$.To do:We have to find the greatest common factor of the given polynomials.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 ... Read More

Given:Given polynomials are $7x, 21x^2$ and $14xy^2$.To do:We have to find the greatest common factor of the given polynomials.Solution:GCF/HCF:A common factor of two or more numbers is a factor that is shared by the numbers. The greatest/highest common factor (GCF/HCF) of those numbers is found by finding all common factors of the ... Read More

Given:Given polynomials are $6x^3y$ and $18x^2y^3$.To do:We have to find the greatest common factor of the given polynomials.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 ... Read More

Given:$x + \frac{1}{x} =20$To do:We have to find the value of $x^2 + \frac{1}{x^2}$.Solution:The given expression is $x + \frac{1}{x} =20$. Here, we have to find the value of $x^2 + \frac{1}{x^2}$. So, by squaring the given expression and using the identity $(a+b)^2=a^2+2ab+b^2$, we can find the value of $x^2 + \frac{1}{x^2}$.$(a+b)^2=a^2+2ab+b^2$...................(i)Now, $x + ... Read More