Simplify (a+2b+3c)²-(a-2b-3c)²-6b²-abc

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Gaurav Seth 5 years, 5 months ago
Simplify (a+2b+3c)^2- (a-2b-3c)^2-6b^2-9bc
(a+2b+3c+a-2b-3c) (a+2b+3c-a+2b+6c) - 3b(2b+3c){a^2-b^2 = (a+b)(a-b)}
= (2a)(2b+6c)-3b(2b+3c)
= 4ab+12ac-3b(2b+3c)
= 4a(b+3c)-3b(2b+3c)
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