Question

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

Answer 1

Answer:

We know 49a²+25b²+70ab =(7a)²

2(7a)(5b) +(5b)²

We know that x²+2xy+y²= (x+y)

Here x= (7a) and y =(5b)

therefore 49a² +25b²+70ab +

2(7a)(5b) +(5b)²

=(7a+5b)²

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

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