(A) We have the expression $4 x^{2}+20 x+25$.This can be written in the form $a^{2}+2 a b+b^{2}$ as follows:$4 x^{2}+20 x+25 = (2 x)^{2}+2(2 x)(5)+(5)

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(A) We have the expression $4 x^{2}+20 x+25$.This can be written in the form $a^{2}+2 a b+b^{2}$ as follows:$4 x^{2}+20 x+25 = (2 x)^{2}+2(2 x)(5)+(5)^{2}$Using the algebraic identity $a^{2}+2 a b+b^{2}=(a+b)^{2}$,where $a = 2x$ and $b = 5$,we get:$(2 x+5)^{2}$Thus,the factors are $(2 x+5)(2 x+5)$.

Class 9 Mathematics Polynomials Mix Examples - Polynomials

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Factorise the following:
$4 x^{2}+20 x+25$

A
$(2x+5)(2x+5)$
B
$(2x-5)(2x-5)$
C
$(4x+5)(x+5)$
D
$(2x+5)(2x-5)$

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Factorise the following:$4 x^{2}+20 x+25$

Similar Questions

In the polynomial $5x^{3} - 3x^{2} + 11x - 4$,the coefficient of $x^{2}$ is......

Factorise the following quadratic polynomial by splitting the middle term:$x^{2}+14x+33$

State whether the following statement is true or false:$x^{2}-8x+12 = (x-6)(x-2)$

Find $p(1)$,$p(2)$,and $p(4)$ for the following polynomial: $p(t) = t^{2} - 6t + 8$.

From the following polynomials,find out which of them has $(x-1)$ as a factor:$p(x) = 2x^3 + 5x^2 - x - 6$

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Factorise the following:
$4 x^{2}+20 x+25$

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}+14x+33$

State whether the following statement is true or false:
$x^{2}-8x+12 = (x-6)(x-2)$

From the following polynomials,find out which of them has $(x-1)$ as a factor:
$p(x) = 2x^3 + 5x^2 - x - 6$