2(2-X)方-X(X-2)立方(因式分解)
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2(2-X)方-X(X-2)立方(因式分解)
1.(X-1)(X-2)-2(2-X)方(因式分解)
2.(X方+X+1)(X方+X+2)-12(因式分解)
3.(X-Y)(3X+Y)方+(X+3Y)方(Y-X)(因式分解)
4.2X方(X-Y)+2Y方(Y-X)(因式分解)
1.(X-1)(X-2)-2(2-X)方(因式分解)
2.(X方+X+1)(X方+X+2)-12(因式分解)
3.(X-Y)(3X+Y)方+(X+3Y)方(Y-X)(因式分解)
4.2X方(X-Y)+2Y方(Y-X)(因式分解)
2(2-X)^2-X(X-2)^3 =2(X-2)^2-X(X-2)^3 =(X-2)^2[2-X(X-2)] =(X-2)^2(2-X^2+2X) =-(X-2)^2(X^2-2X-2) 1.(X-1)(X-2)-2(2-X)^2 =(X-1)(X-2)-2(X-2)^2 =(X-2)[(X-1)-2(X-2)] =(X-2)(X-1-2X+4) =(X-2)(3-X) =-(X-2)(X-3) 2.(X^2+X+1)(X^2+X+2)-12 =(X^2+X)^2+3(X^2+X)+2-12 =(X^2+X)^2+3(X^2+X)-10 =[(X^2+X)-2][(X^2+X)+5] =(X^2+X-2)(X^2+X+5) =(X+2)(X-1)(X^2+X+5) 3.(X-Y)(3X+Y)^2+(X+3Y)^2(Y-X) =(X-Y)(3X+Y)^2-(X+3Y)^2(X-Y) =(X-Y)[(3X+Y)^2-(X+3Y)^2] =(X-Y)[(3X+Y)-(X+3Y)][(3X+Y)+(X+3Y)] =(X-Y)(3X+Y-X-3Y)(3X+Y+X+3Y) =(X-Y)(2X-2Y)(4X+4Y) =2(X-Y)(X-Y)(4X+4Y) =8(X-Y)(X-Y)(X+Y) =8(X-Y)^2(X+Y) 4.2X^2(X-Y)+2Y^2(Y-X) =2X^2(X-Y)-2Y^2(X-Y) =2(X-Y)(X^2-Y^2) =2(X-Y)(X-Y)(X+Y) =2(X-Y)^2(X+Y)
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