2x∧2-3x-8y∧2+6y因式分解
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2x∧2-3x-8y∧2+6y因式分解
![2x∧2-3x-8y∧2+6y因式分解](/uploads/image/z/18625792-40-2.jpg?t=2x%E2%88%A72-3x-8y%E2%88%A72%2B6y%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
2x²-3x-8y²+6y
=(2x²-8y²)-(3x+6y)
=2(x²-4y²)-3(x+2y)
=2(x+2y)(x-2y)-3(x+2y)
=(x+2y)[2(x-2y)-3]
=(x+2y)(2x-4y-3)
=(2x²-8y²)-(3x+6y)
=2(x²-4y²)-3(x+2y)
=2(x+2y)(x-2y)-3(x+2y)
=(x+2y)[2(x-2y)-3]
=(x+2y)(2x-4y-3)