4(2x+y)^2-9(x-2y)^2
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![4(2x+y)^2-9(x-2y)^2](/uploads/image/z/4336408-64-8.jpg?t=4%282x%2By%29%5E2-9%28x-2y%29%5E2)
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4(2x+y)^2-9(x-2y)^2
4(2x+y)^2-9(x-2y)^2
4(2x+y)^2-9(x-2y)^2
4(2x+y)^2-9(x-2y)^2
=(4x+2y)^2-(3x-6y)^2
=(4x+2y+3x-6y)(4x+2y-3x+6y)
=(7x-4y)(x+8y)