a^2(x-y)+b^2(x+y) 因式分解为多少?
来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/30 12:02:55
a^2(x-y)+b^2(x+y) 因式分解为多少?
X³+9X²+26X+24
=(X³+7X²+12X)+(2X²+14X+24)
=X(X²+7X+12)+2(X²+7X+12)
=(X+2)(X²+7X+12)
=(X+2)(X+3)(X+4)
bc(b+c)+ca(c-a)-ab(a+b)
=c[b(b+c)+a(c-a)]-ab(a+b)
=c(b²+bc+ac-a²)-ab(a+b)
=c[(bc+ac)+(b²-a²)]-ab(a+b)
=c[c(b+a)+(b+a)(b-a)]-ab(a+b)
=c(a+b)(c+b-a)-ab(a+b)
=(a+b)(c²+bc-ac-ab)
=(a+b)(b+c)(c-a)
8x³-(x-y)³-(x+y)³
=8x³-[(x-y)³+(x+y)³]
=8x³-[(x-y)+(x+y)]*[(x-y)²+(x+y)²-(x-y)(x+y)]
=8x³-2x*[2x²+2y²-(x²-y²)]
=8x³-2x(x²+3y²)
=8x³-2x³-6xy²
=6x³-6xy²
=6x(x²-y²)
=6x(x-y)(x+y)
=(X³+7X²+12X)+(2X²+14X+24)
=X(X²+7X+12)+2(X²+7X+12)
=(X+2)(X²+7X+12)
=(X+2)(X+3)(X+4)
bc(b+c)+ca(c-a)-ab(a+b)
=c[b(b+c)+a(c-a)]-ab(a+b)
=c(b²+bc+ac-a²)-ab(a+b)
=c[(bc+ac)+(b²-a²)]-ab(a+b)
=c[c(b+a)+(b+a)(b-a)]-ab(a+b)
=c(a+b)(c+b-a)-ab(a+b)
=(a+b)(c²+bc-ac-ab)
=(a+b)(b+c)(c-a)
8x³-(x-y)³-(x+y)³
=8x³-[(x-y)³+(x+y)³]
=8x³-[(x-y)+(x+y)]*[(x-y)²+(x+y)²-(x-y)(x+y)]
=8x³-2x*[2x²+2y²-(x²-y²)]
=8x³-2x(x²+3y²)
=8x³-2x³-6xy²
=6x³-6xy²
=6x(x²-y²)
=6x(x-y)(x+y)
因式分解 (1)6(x-y)^3-3y(y-x)^2 (2)x(x-y)(a-b)-y(y-x)(
3x(a-b)-2y(b-a) 因式分解
因式分解:(2x-3y)(a-b)+(3x-2y)(b-a)
因式分解(a-b)^2-6(b-a)+9.25(x-y)^2+10(y-x)+1
因式分解:(2x-3y)(a+b)+(3x-2y)(a+b)求过程急
(x+y)*(x+1)-(xy+y*y)因式分解为多少
因式分解,(a-b)(x-y)-(b-a)(x-y)
几道因式分解..4ab(a+b)^2-6a^2b(a+b)(x+y)^2(x-y)+(x+y)(x-y)^22a(a-3
因式分解(x-y)^2+4(x^2-y^2)+4(x+y)^2 a(x^2+2xy+y^2)-b(x^2-y^2) (x
因式分解:x^2y^2-4x a(a-b)-2b(b-a)
因式分解:3a(x-y)-2(y-x)的平方
2(x-y)+a(x-y)因式分解