(2a+3b) ² + (2a-3b)² simplify
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(2a+3b)²-(2a-3b)
=[(2a)²+ 2x2ax3b+(3b)²]-[(2a)²-2×2ax3b+(3b)²]
=[4a²+12ab+9b²]-[4a²-12ab+9b²]
=4a²+12ab+9b²-4a²+12ab-9b²
=24ab.
Answered by
1
Step-by-step explanation:
(2a+3b)²= (2a)²+(3b)²+(2×2a×3b) [by using formula (a+b)²=a²+b²+2ab]
= 4a²+9b²+12ab
(2a-3b)²= (2a)²+(3b)²-(2×2a×3b) [ by using formula (a-b)²= a²+b²-2ab]
= 4a²+9b²-12ab
(2a+3b)²+(2a-3b)²=4a²+9b²+12ab+4a²+9b²-12ab
=8a²+18b² = 2(4a²+9b²)
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