Question

因式分解(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)

Answer 1

(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)
=(x+2y)[(3x^2-4y^2)-(x+2y)(x-2y)]
=(x+2y)[(3x^2-4y^2)-(x^2-4y^2)]
=(x+2y)(3x^2-4y^2-x^2+4y^2)
=2(x+2y)x^2

Answer 2

nbcx
468

Answer 3

lop
645

Answer 4

blmad
772

Answer 5

(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)
=(x+2y)[(3x^2-4y^2)-(x+2y)(x-2y)] 用平方差公式
=(x+2y)[(3x^2-4y^2)-(x^2-4y^2)]
=(x+2y)(3x^2-4y^2-x^2+4y^2) 同相化简
=2(x+2y)x^2

Answer 6

(x+2y)(3x^2-4y^2)-(x+2y)^2(x-2y)
=(x+2y)〔(3x^2-4y^2)-(2x-4y)〕
=(x+2y))(6x-8y-2x+4y)
=(x+2y)(4x-4y)