分解公因式p(x-y)-q(y-x)(a+b)(a-b)-(b+a)10a(x-y)^2-5b(y-x)3p(m-2n)-(2n-m)^24(m-n)^2-12n(n-m)^2(a+b)^(m-1)-(a+b)^m

分解公因式p(x-y)-q(y-x)(a+b)(a-b)-(b+a)10a(x-y)^2-5b(y-x)3p(m-2n)-(2n-m)^24(m-n)^2-12n(n-m)^2(a+b)^(m-1)-(a+b)^m
分解公因式
p(x-y)-q(y-x)
(a+b)(a-b)-(b+a)
10a(x-y)^2-5b(y-x)
3p(m-2n)-(2n-m)^2
4(m-n)^2-12n(n-m)^2
(a+b)^(m-1)-(a+b)^m

分解公因式p(x-y)-q(y-x)(a+b)(a-b)-(b+a)10a(x-y)^2-5b(y-x)3p(m-2n)-(2n-m)^24(m-n)^2-12n(n-m)^2(a+b)^(m-1)-(a+b)^m
p(x-y)-q(y-x)
=p(x-y)+q(x-y)
=(p+q)(x-y)
(a+b)(a-b)-(b+a)
=(a+b)(a-b-1)
10a(x-y)^2-5b(y-x)
=10a(x-y)^2+5b(x-y)
=5(x-y)(2ax-2ay+bx-by)
=5(x-y)[2a(x-y)+b(x-y)]
=5(x-y)^2(2a+b)
3p(m-2n)-(2n-m)^2
=-[3p(2n-m)+(2n-m)^2]
=-(2n-m)(3p+2n-m)
4(m-n)^2-12n(n-m)^2
=4(n-m)^2-12n(n-m)^2
=4(n-m)^2(1-3n)
(a+b)^(m-1)-(a+b)^m
=(a+b)^(m-1)-(a+b)^(m-1)*(a+b)
=(a+b)^(m-1)(1-a-b)

(p+q)(x-y)
(a+b)(a-b+1)
(x-y)(10a(x-y)+5b)
(3p-m-2n)(m-2n)
4(1-3n)(m-n)^2
(a+b)^(m-1)(1-a-b)

px-py-qy+qx
a^2-b^2-b-a
10ax^2-20axy+10ay^2-5by+5bx

p(x-y)-q(y-x)
=p(x-y)+q(x-y)
=(x-y)(p+q)
(a+b)(a-b)-(b+a)
=(a+b)(a-b-1)
10a(x-y)^2-5b(y-x)
=10a(x-y)^2+5b(x-y)
=5(x-y)(2ax-2ay+b)
3p(m-2n)-(2n-m)^2
=3p(m-2n)-...

全部展开

p(x-y)-q(y-x)
=p(x-y)+q(x-y)
=(x-y)(p+q)
(a+b)(a-b)-(b+a)
=(a+b)(a-b-1)
10a(x-y)^2-5b(y-x)
=10a(x-y)^2+5b(x-y)
=5(x-y)(2ax-2ay+b)
3p(m-2n)-(2n-m)^2
=3p(m-2n)-(m-2n)^2
=(m-2n)(3p-m+2n)
4(m-n)^2-12n(n-m)^2
=4(m-n)^2-12n(m-n)^2
=4(m-n)^2(1-3n)
(a+b)^(m-1)-(a+b)^m
=(a+b)^(m-1)-(a+b)*(a+b)^(m-1)
=(a+b)^(m-1)(1-a-b)

收起

p(x-y)-q(y-x)
=p(x-y)+q(x-y)
=(x-y)(p+q);
(a+b)(a-b)-(b+a)
=(a+b)(a-b-1);
10a(x-y)^2-5b(y-x)
=10a(x-y)^2+5b(x-y)
=5(x-y)[2a(x-y)+b]
=5(x-y)(2ax-2ay+b);
3p(m-2n)-...

全部展开

p(x-y)-q(y-x)
=p(x-y)+q(x-y)
=(x-y)(p+q);
(a+b)(a-b)-(b+a)
=(a+b)(a-b-1);
10a(x-y)^2-5b(y-x)
=10a(x-y)^2+5b(x-y)
=5(x-y)[2a(x-y)+b]
=5(x-y)(2ax-2ay+b);
3p(m-2n)-(2n-m)^2
=3p(m-2n)-(m-2n)^2
=(m-2n)[3p-(m-2n)]
=(m-2n)(3p-m+2n);
4(m-n)^2-12n(n-m)^2
=4(m-n)^2-12n(m-n)^2
=4(m-n)^2(1-3n);
(a+b)^(m-1)-(a+b)^m
=(a+b)^(m-1)[1-(a+b)]
=(a+b)^(m-1)(1-a-b).

收起

(p+q)(x-y)
(a+b)(a-b+1)
(y-x)(10ay-10ax-5b)
(m-2n)(3p-m+2n)
(m-n)^2(4-12n)
(1-a-b)(a+b)^(m-1)

（p+q）（x-y）
（a+b）(a-b-1)
(x-y)[10a(x-y)+5b]
(2n-m)(m-2n-3p)
(m-n)^2(4-12n)
-(a+b)

p(x-y)-q(y-x)=p(x-y)+q(x-y)
=（x-y）(p+q)
(a+b)(a-b)-(b+a)
=(a+b)(a-b-1)
10a(x-y)^2-5b(y-x)=5[2a(x-y)^2+b(x-y)]
=5(x-y)(2ax-2ay+b)
3p(m-2n)-(2n-m)^2=3p(m-2n)...

全部展开

p(x-y)-q(y-x)=p(x-y)+q(x-y)
=（x-y）(p+q)
(a+b)(a-b)-(b+a)
=(a+b)(a-b-1)
10a(x-y)^2-5b(y-x)=5[2a(x-y)^2+b(x-y)]
=5(x-y)(2ax-2ay+b)
3p(m-2n)-(2n-m)^2=3p(m-2n)-(m-2n)^2
=(m-2n)(3p-m+2n)
4(m-n)^2-12n(n-m)^2=4[(m-n)^2-3n(m-n)^2]
=4(m-n)^2(1-3n)
(a+b)^(m-1)-(a+b)^m=(a+b)^(m-1)(1-a-b)

收起

汗~~~