(2x+y)（2x-3y)+x（2x+y） 因式分解8^2(2x^2-y^2）+y^4 3x^2-27

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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
(2x+y)（2x-3y)+x（2x+y） 因式分解
8^2(2x^2-y^2）+y^4 3x^2-27

(2x+y)（2x-3y)+x（2x+y） 因式分解8^2(2x^2-y^2）+y^4 3x^2-27
(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)

1、原式=（2X+Y）（2X-3Y+X）=3（2X+Y）（X+Y）
2、是不是题有问题
3、原式=3（x^2-9）=3（X-9）（X+9）

(2x+y)（2x-3y)+x（2x+y)
=(2x+y)(2x-3y+x)
=(2x+y)(3x-3y)
=3(2x+y)(x-y)
3x^2-27
=3(x^2-9)
=3(x+3)(x-3)

(2x+y)（2x-3y)+x（2x+y）
=（2x+y）(2x-3y+x)
=3（2x+y)(x-y)
8^2(2x^2-y^2）+y^4=64(2x^2-y^2)+y^4
=64*2(x^2-y^2)+64y^2+y^4
=128(x+y)(x-y)+y^2(64+y^2)
3x^2-27 =3(x^2-9)=3(x-3)(x+3)

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