Q. 1 D3.9( 15 Votes )

Let us factorise

Answer :

As we know that,


x2 – y2 = (x – y)(x + y)


The given expression can be rewritten as:


7(a2 + b2)2 – 15(a2 + b2)(a2 – b2) + 8 (a2 – b2)2


Let (a2 + b2) = p and (a2 – b2) = q


7p2 – 15pq + 8q2


7p2 – 7pq – 8pq + 8q2


7p(p – q) – 8q(p – q)


(7p – 8q)(p – q)


On substituting the value of p and q, we get,


(7(a2 + b2) - 8(a2 – b2))( a2 + b2 – a2 + b2)


(7a2 + 7b2 – 8a2 + 8b2) (2b2)


2b2(15b2 – a2)


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