Question

please tell me the answer by step by step

Answer 1

Hi friend!

Answer:

LHS = [(9p - 5q)²] + 180pq

= [81p² - 2(9p)(5q) + 25q²] + 180²

= 81p² - 90pq + 25q² + 180pq

= 81p² + 90pq + 25q² {because -90 + 180 = +90}

= (9p)² + 2(9p)(5q) + (5q)²

= (9p + 5q)² {using factorisation by identities method}

RHS = (9p + 5q)²

LHS = (9p - 5q)² + 180pq = (9p + 5q)² = RHS

LHS = RHS

Therefore, proved.

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