Math, asked by balanr467, 4 months ago

Prove that: (4pq +3q) ² - (4pq -3q) ² = 48pq²

Answers

Answered by rasmitahalder024
1

Answer:

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Answered by ABHINAV012
7

Answer:

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Step-by-step explanation:

(4pq +3q) ² - (4pq -3q) ² = 48pq²

L.H.S

using [(a+b)² = a²+b² +2ab]

& [ (a-b)² = a²+b²-2ab ]

=> 16p²q² + 9q² + 24pq² - [ 16p²q² + 9q² - 24pq² ]

=> 16p²q² -16p²q²+ 9q² - 9q² + 24pq²+ 24pq²

= 24pq²+ 24pq²

=> 48pq²

Therefore , LHS = RHS

hence proved.

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