Question

Prove: (2a + 3b)2 + (2a – 3b)2 = 8a2 + 18b2 (pls give step by step explanation)​

Answer 1

Step-by-step explanation:

Taking the LHS, we have

LHS = (2a+3b)

2

+(1a−3b)

2

=(2a)

2

+2×2a×3b+(3b)

2

+(2a)

2

−2×2a×3b+(3b)

2

=4a

2

+12ab+9b

2

+4a

2

−12ab+9b

2

=8a

2

+18b

2

=RHS