factorice the following 9x²+24xy+16y²-4a²-4ab-b².
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(9x²+24xy+16y²)-(4a²+4ab+b²)
[(3x)²+2×3x×4y+(4y)²] - [(2a)²+2×2a×b+(b)²]
a²+2ab+b² = (a+b)²
(3x+4y)²-(2a+b)²
a²-b² = (a+b)(a-b)
(3x+4y+2a+b)[3x+4y-(2a+b)]
(3x+4y+2a+b)(3x+4y-2a-b)
hope this helps
[(3x)²+2×3x×4y+(4y)²] - [(2a)²+2×2a×b+(b)²]
a²+2ab+b² = (a+b)²
(3x+4y)²-(2a+b)²
a²-b² = (a+b)(a-b)
(3x+4y+2a+b)[3x+4y-(2a+b)]
(3x+4y+2a+b)(3x+4y-2a-b)
hope this helps
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