Question

Show that (2x + 3y)^2 – (2x – 3y)^2 = 24xy​

Answer 1

Answer:

1y/2

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

LHS:-

(2x+3y)²-(2x-3y)²

= [(2x+3y)+(2x-3y)] [(2x+3y)-(2x-3y)] [by using identity a²-b²=(a+b)(a-b)]

=[2x+3y+2x-3y] [2x+3y-2x+3y]

= [4x] [6y]

=24xy

RHS:-

24xy

So, LHS=RHS

Hence, proved.

Hope it helps.