(2x+y)(2x-3y)+x(2x+y) 因式分解
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(2x+y)(2x-3y)+x(2x+y) 因式分解
8^2(2x^2-y^2)+y^4 3x^2-27
8^2(2x^2-y^2)+y^4 3x^2-27
![(2x+y)(2x-3y)+x(2x+y) 因式分解](/uploads/image/z/18794434-58-4.jpg?t=%282x%2By%29%EF%BC%882x-3y%29%2Bx%EF%BC%882x%2By%EF%BC%89+%E5%9B%A0%E5%BC%8F%E5%88%86%E8%A7%A3)
(2x+y)(2x-3y)+x(2x+y)
=(2x+y)(2x-3y+x)
=(2x+y)(3x-3y)
=3(2x+y)(x-y)
8^2(2x^2-y^2)+y^4
=64(2x^2-2y^2)+y^4+64y^2
=128(x^2-y^2)+y^2(y^2+64)
=128(x+y)(x-y)+y^2(y^2+64)
3x^2-27
=3(x^2-9)
=3(x+3)(x-3)
=(2x+y)(2x-3y+x)
=(2x+y)(3x-3y)
=3(2x+y)(x-y)
8^2(2x^2-y^2)+y^4
=64(2x^2-2y^2)+y^4+64y^2
=128(x^2-y^2)+y^2(y^2+64)
=128(x+y)(x-y)+y^2(y^2+64)
3x^2-27
=3(x^2-9)
=3(x+3)(x-3)