因式分解: ①a(a-b)+b(b-a) ②(a-b)³-(a-b)² ③x(x+y)(x-y)-x
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/05 18:53:34
因式分解: ①a(a-b)+b(b-a) ②(a-b)³-(a-b)² ③x(x+y)(x-y)-x(x+y)²
④2a(x-y)-4b(y-x)
⑤(2x+y)(2x-3y)+x(2x+y)
急,马上就要,请写出过程,好的加分~~
④2a(x-y)-4b(y-x)
⑤(2x+y)(2x-3y)+x(2x+y)
急,马上就要,请写出过程,好的加分~~
①a(a-b)+b(b-a)
=(a-b)(a-b)
=(a-b)²
②(a-b)³-(a-b)²
=(a-b)²(a-b-1)
③x(x+y)(x-y)-x(x+y)²
=(x+y)x(x-y-x-y)
=-2xy(x+y)
④2a(x-y)-4b(y-x)
=2(x-y)(a+2b)
⑤(2x+y)(2x-3y)+x(2x+y)
=(2x+y)(2x-3y+x)
=3(2x+y)(x-y)
=(a-b)(a-b)
=(a-b)²
②(a-b)³-(a-b)²
=(a-b)²(a-b-1)
③x(x+y)(x-y)-x(x+y)²
=(x+y)x(x-y-x-y)
=-2xy(x+y)
④2a(x-y)-4b(y-x)
=2(x-y)(a+2b)
⑤(2x+y)(2x-3y)+x(2x+y)
=(2x+y)(2x-3y+x)
=3(2x+y)(x-y)
因式分解(a-b)²(x-y)-(b-a)(y-x)²=(a-b)(x-y)×( )
因式分解:x^2y^2-4x a(a-b)-2b(b-a)
因式分解:①10a(x-y)^2-5b(y-x)②x(a-x)(a-y)-y(x-a)(y-a)③6(2a+b)(2a-
因式分解2x²y-xy-3y (-a+b)+c²(a-b)
因式分解:(1)(a+b)²+a+b+1/4 (2)6(x-y)²+3(y-x)³
因式分解a(x-y)+b(y-x)+c(x-y)
因式分解:(1)x^2y^2-4x (2) a(a-b)-2b(b-a)
因式分解:x²(a-b)+y²(b-a)
因式分解,(a-b)(x-y)-(b-a)(x-y)
因式分解 (1)9(a-b)²-16(a+b)² (2)3x³-12x²y
a(x²-y²)+b(y²-x²) 因式分解
因式分解4(a+b)^2-16ab= -4x^2(a-b)-16y^2(b-a)