Question

Factorise the following expression
(i) a? + 10a + 25
​

Answer 1

Step-by-step explanation:

Given: a

2

−10a+25

=a

2

−5a−5a+25, split middle term so that resultant is same

=(a 2−5a)+(−5a+25), group pair of terms

=a(a−5)−5(a−5), factor each binomials

=(a−5)(a−5), factor out common factor (a−5)

=(a−5) 2

Aliter, use (a−b 2 )=a 2 −2ab+b 2

⇒a2−10a+25=a 2−2×5x+5 2=(a−5) 2

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