分解因式 4a(x-y) 8b(y-x)-搜答案-智慧作业帮

4A(X-Y)+6B(Y-X)=4A(X-Y)-6B(X-Y)提取因式(X-Y)=(X-Y)(4A-6B)=2(X-Y)(2A-3B)所以应提取的公因式是2(X-Y)

(a-b)(x-y)-2(a-b)(x+y)(a-b)(x-y-2x-2y)(a-b)(-x-3y)

a(x^2+2xy+y^2)-b(x^2-y^2)=a(x+y)^2-b(x+y)(x-y)=(x+y)[a(x+y)-b(x-y)]=(x+y)(ax+ay-bx+by)

a(y-x)-2b(x-y)=a(y-x)+2b(y-x)=(y-x)(a+2b)

原式=a(x+y)²-b(x+y)(x-y)=(x+y)[a(x+y)-b(x-y)]=(x+y)(ax+ay-bx+by)

3a+12a²+12a³=3a(1+4a+4a²)=3a(1+2a)²16-8（x-y)+(x-y)²=[4-(x-y)]²=(2-x+y)

原式=8a（x-y)²+4b(x-y)=4（x-y）［2a（x-y)+b］=4（x-y）(2ax-2ay+b)

a²-4ab+4b²=a²-2×a×2b+(2b)²=(a-2b)²4+12（x-y）+9（x-y）²=2²+2×2×3(x-y)

=[2（a-b)]^2-(x-y)^2=(2a-2b+x-y)（2a-2b-x+y)

答：1.原式=(a-b)x^2-9(a-b)=(a-b)(x^2-9)=(a-b)(x+3)(x-3)2.原式=(x-y)^2+2(x-y)+1=(x-y+1)^23.原式=(x+4)(x-2)4.原

1.2a(x-y)-3b(y-x)=2a(x-y)+3b(x-y)=(2a+3b)(x-y)2.-x^y-2xy+35y=-y(x^+2x-35)=-y(x-7)(x+5)3.a^(x-y)-4b^(

a²(2x-y)+b²(y-2x)=a²(2x-y)-b²(2x-y)=(a²-b²)(2x-y)=(a-b)(a+b)(2x-y)看一下,

解4a²-4b²+x²-y²+4(ax-by)=(4a²+4ax+x²)-(4b²+y²+4by)=(2a+x)

分解为ax+ay+bx+by-ax+ay-bx+by=ay+by+ay+by=2ay+2by=2y(a+b)

解x²-x-4y²+2y=(x²-4y²)-(x-2y)=(x-2y)(x+2y)-(x-2y)=(x-2y)(x+2y-1)4a²b-3ab

1实数范围分解不了,复数范围分解得：[x-(-y*i-1-3*i)][x-(y*i-1+3*i)]={x+[(y+3)i+1]}{x-[(y+3)i-1]}注：i为虚数单位2题分解的很复杂,估计不是你

1.8a-4a^-4=-4（a^-2a+1）=-4（a-1）^2.9(x+y)^-81(x-y)^=[3(x+y)]^-[9(x-y)]^=(3x+3y+9x-9y)(3x+3y-9x+9y)=(12

（a+b+c)*m÷(a+b+c)=m(2x-y)²÷(2x-y)=(2x-y)

9x²-16（a+b)²=[3x-4(a+b)][3x+4(a+b)]=(3x-4a-4b)(3x+4a+4b)1/2x⁴y²-1/8x²yS

原式=5a²b(x-y)³-30ab²(x-y)²=5ab[a(x-y)²-6b]=5ab(ax-ay-6b)