六道因式分解的题.(x+y)^4+(x+y)^2-20(x^2+7x+6)(x^2+7x-8)+45(x-1)(x+2)

1个回答

  • 六道因式分解的题.!

    10 - 离问题结束还有 14 天 23 小时

    (x+y)^4+(x+y)^2-20 =[(X+Y)方+5][(X+Y)方-4]=(X方+Y方+2XY+5)(X方+Y方+2XY-4)

    (x^2+7x+6)(x^2+7x-8)+45 =(X方+7X)方-2(X方+7X)-48+45

    =(X方+7X)方-2(X方+7X)-3

    =(X方+7X+1)(X方+7X-3)

    (x-1)(x+2)(x-3)(x+4)+24

    =(X方+X-2)(X方+X-12)+24

    =(X方+X)方-14(X方+X)+48

    =(X方+X-6)(X方+X-8)

    =(X+3)(X-2)(X方+X-8)

    (a+b-2ab)(a+b-2)+(1-ab)^2

    =(A+B)方-2(AB+1)(A+B)+4AB+(AB+1)方-4AB

    =(A+B-AB-1)方

    (a^2+a+1)(a^2-6a+1)+12a^2

    =(A方+1+A)(A方+1-6A)+12A方

    =(A方+1)方-5A(A方+1)-6A方+12A方

    =(A方+1-2A)(A方+1-3A)

    =(A-1)方(A方-3A+1)

    4x^3-31x+15

    =4X立-2X方+2X方-31X+15

    =2X方(2X-1)+(X-15)(2X-1)

    =(2X-1)(2X方+X-15)

    =(2X-1)(X+3)(2X-5)