帮忙了,因式分解,要过程

来源:百度知道 编辑:UC知道 时间:2024/07/03 04:07:23
1)x方+4x+4 (2)9分之1a方-4c方 (3)2x4次方—32 (4)6(x+y)方-2(x-y)(x+y)

1)x方+4x+4
=(x+2)^2

(2)9分之1a方-4c方
=(a/3+2c)(a/3-2c)

(3)2x4次方—32
=2(x^4-16)
=2(x^2+4)(x^2-4)
=2(x^2+4)(x+2)(x-2)

(4)6(x+y)^2-2(x-y)(x+y)
=2(x+y)[3(x+y)-(x-y)]
=2(x+y)(2x+4y)
=4(x+y)(x+2y)

1)x方+4x+4
=(x+2)(x+2)

(2)9分之1a方-4c方
=(1/3a+2c)(1/3a-2c)

(3)2x4次方—32
=x^4-16+x^4-16
=(x^2+4)(x^2-4)+(x^2+4)(x^2-4)
=2(x^2+4)(x^2-4)
=2(x^2+4)(x+2)(x-2)

(4)6(x+y)方-2(x-y)(x+y)
=2(x+y)[3(x+y)-(x-y)]
=2(x+y)*2(x+2y)

1.原式=x方+2乘X乘2+2方=(X+2)方