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

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2. Polynomials

easy

Factorise the following:

$4 x^{2}+20 x+25$

Option A

Option B

Option C

Option D

Solution

We have,

$4 x^{2}+20 x+25=(2 x)^{2}+2(2 x)(5)+(5)^{2}$

$=(2 x+5)^{2} \quad\left[\because a^{2}+2 a b+b^{2}=(a+b)^{2}\right]$

$=(2 x+5)(2 x+5)$

Standard 9

Mathematics

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