9(x+2y)^2-4(x-2Y)^2
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![9(x+2y)^2-4(x-2Y)^2](/uploads/image/z/7145398-46-8.jpg?t=9%28x%2B2y%29%5E2-4%28x-2Y%29%5E2)
9(x+2y)^2-4(x-2Y)^2
9(x+2y)^2-4(x-2Y)^2
9(x+2y)^2-4(x-2Y)^2
9(x+2y)^2-4(x-2Y)^2
=[3(x+2y)]^2-[2(x-2Y)]^2
=[3(x+2y)+2(x-2Y)][3(x+2y)-2(x-2Y)]
=(5x+2y)(x+10y)
9(x+2y)^2-4(x-2Y)^2
=3^2(x+2y)^2-2^2(x-2y)^2
=[3(x+2y)]^2-[2(x-2y)]^2
=[3(x+2y)+2(x-2y)][3(x+2y)+2(x-2y)]
=(5x+2y)(x+10y)