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Question

Factorise: x2+10x+25


A

(x + 5)(x - 5)

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B

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C

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D

(x + 5)(x + 2)

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Solution

The correct option is B


The expression x2+10x+25 can be written as,

=x2+2×5×x+52...(i)

Comparing (i) with the identity (a+b)2=a2+2ab+b2, we get
a2=x2a=x

b2=52b=5

x2+10x+25=x2+2(x)(5)+52 = (x+5)2
Therefore, the factors of
x2+10x+25​​​​​​​ are (x+5) and (x+5).


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