Prove that : ( 4a + 7b )² – ( 4a – 7b )² = 112 ab
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proved
Step-by-step explanation:
LHS
(4a+7b)²-112ab
=( (4a)²+2×4a×7b+(7b)² ) -112ab
=(16a²+56ab+49b² ) -112ab
=16a²+(56ab-112ab)+49b²
=16a²-56ab+49b²
=(4a)²-2×4a×7b+(7b)²
=(4a-7b)²
(proved)
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