(B) The given expression is $16 x^{2}-40 x y+25 y^{2}$.We can rewrite this expression as $(4 x)^{2}-2(4 x)(5 y)+(5 y)^{2}$.This is in the form of the

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(B) The given expression is $16 x^{2}-40 x y+25 y^{2}$.We can rewrite this expression as $(4 x)^{2}-2(4 x)(5 y)+(5 y)^{2}$.This is in the form of the algebraic identity $a^{2}-2 a b+b^{2}=(a-b)^{2}$,where $a=4 x$ and $b=5 y$.Substituting these values,we get $(4 x-5 y)^{2}$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

Easy

Factorise $16 x^{2}-40 x y+25 y^{2}$.

A
$(4 x-5 y)(4 x+5 y)$
B
$(4 x-5 y)^{2}$
C
$(4 x+5 y)^{2}$
D
$(2 x-5 y)^{2}$

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Mix Examples - Polynomials

Find the quotient and the remainder when $x^{3}+x^{2}-10x+8$ is divided by $x+4$.

Difficult

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Are the following expressions polynomials? Justify your answer:
$\frac{1}{7} a^{3}-\frac{2}{\sqrt{3}} a^{2}+4 a-7$

Easy

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If $p(3) = 0$ for a polynomial $p(x)$,state one factor of $p(x)$.

Easy

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Find the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $2x - 3$.

Medium

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Factorise the following:
$9 y^{2}-66 y z+121 z^{2}$

Easy

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Factorise $16 x^{2}-40 x y+25 y^{2}$.

Similar Questions

Find the quotient and the remainder when $x^{3}+x^{2}-10x+8$ is divided by $x+4$.

Are the following expressions polynomials? Justify your answer:$\frac{1}{7} a^{3}-\frac{2}{\sqrt{3}} a^{2}+4 a-7$

If $p(3) = 0$ for a polynomial $p(x)$,state one factor of $p(x)$.

Find the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $2x - 3$.

Factorise the following:$9 y^{2}-66 y z+121 z^{2}$

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Are the following expressions polynomials? Justify your answer:
$\frac{1}{7} a^{3}-\frac{2}{\sqrt{3}} a^{2}+4 a-7$

Factorise the following:
$9 y^{2}-66 y z+121 z^{2}$