分解公因式 -a^4+16-x^2+4xy-4y^2ax^2+2a^2x+a^3-3x^2+6xy-3y^24xy^2-4x^2y-y^3(p-4)(p+1)+3px^2+7x-18(a-b)(x-y)-(b-a)(x+y)6xy^2-9x^2y-y^33x^2+27x-54
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![分解公因式 -a^4+16-x^2+4xy-4y^2ax^2+2a^2x+a^3-3x^2+6xy-3y^24xy^2-4x^2y-y^3(p-4)(p+1)+3px^2+7x-18(a-b)(x-y)-(b-a)(x+y)6xy^2-9x^2y-y^33x^2+27x-54](/uploads/image/z/10204050-66-0.jpg?t=%E5%88%86%E8%A7%A3%E5%85%AC%E5%9B%A0%E5%BC%8F+-a%5E4%2B16-x%5E2%2B4xy-4y%5E2ax%5E2%2B2a%5E2x%2Ba%5E3-3x%5E2%2B6xy-3y%5E24xy%5E2-4x%5E2y-y%5E3%28p-4%29%28p%2B1%29%2B3px%5E2%2B7x-18%28a-b%29%28x-y%29-%28b-a%29%28x%2By%296xy%5E2-9x%5E2y-y%5E33x%5E2%2B27x-54)
分解公因式 -a^4+16-x^2+4xy-4y^2ax^2+2a^2x+a^3-3x^2+6xy-3y^24xy^2-4x^2y-y^3(p-4)(p+1)+3px^2+7x-18(a-b)(x-y)-(b-a)(x+y)6xy^2-9x^2y-y^33x^2+27x-54
分解公因式 -a^4+16
-x^2+4xy-4y^2
ax^2+2a^2x+a^3
-3x^2+6xy-3y^2
4xy^2-4x^2y-y^3
(p-4)(p+1)+3p
x^2+7x-18
(a-b)(x-y)-(b-a)(x+y)
6xy^2-9x^2y-y^3
3x^2+27x-54
分解公因式 -a^4+16-x^2+4xy-4y^2ax^2+2a^2x+a^3-3x^2+6xy-3y^24xy^2-4x^2y-y^3(p-4)(p+1)+3px^2+7x-18(a-b)(x-y)-(b-a)(x+y)6xy^2-9x^2y-y^33x^2+27x-54
-x^2+4xy-4y^2=-(x^2-4xy+4y^2)=-(x-2y)^2
ax^2+2a^2x+a^3=a(x^2+2ax+a^2)=a(x+a)^2
-3x^2+6xy-3y^2=-3(x^2-2xy+y^2)=-3(x-y)^2
4xy^2-4x^2y-y^3=-y(4x^2-4xy+y^2)=-y(2x-y)^2
(p-4)(p+1)+3p=p^2-3p-4+3p=p^2-4=(p+2)(p-2)
x^2+7x-18=(x+9)(x-2)
(a-b)(x-y)-(b-a)(x+y)=(a-b)[(x-y)+(x+y)]=2x(a-b)
6xy^2-9x^2y-y^3=-y(9x^2-6xy+y^2)=-y(3x-y)^2
3x^2+27x-54=3(x^2+9x-18)
-(x-2y)^2 a(x+a)^2 -3(x-y)^2 -y(2x-y)^2 (p+2)(p-2) (x-2)(x+9) 2(a-b)x -y(3x-y)^2