Question

Factorise the following using suitable identities: 4 (i) 49a 2 +25b 2 +70ab
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Answer 1

Answer:

We know 49a

2

+70ab+25b

2

=(7a)

2

+2(7a)(5b)+(5b)

2

We know that x

2

+2xy+y

2

=(x+y)

Here x=7a and y=5b

Therefore, 49a

2

+70ab+25b

2

=(7a)

2

+2(7a)(5b)+(5b)

2

=(7a+5b)

2

=(7a+5b)(7a+5b)