Question

15a^3b^2+5a^2b -20a^2b^x-45bxy 2m(a-b)-3n(b-a) (a-3)^2+(3-a) a(x-y+b(y-x)+c(x-y)

a^n+2+a^n+1-a^n 1/2a^2b^3-2a^2b+3ab^2 -5a^2b^3+20ab^2-5ab 5m(m-n)^4-10mn(n-m)^3 (a+b)y+(b+m)y+(a+m)y

Answer 1

15a^3b^2+5a^2b
=5a²b×3a+5a²b×1
=5a²b(3a+1)

-20a^2b^2x-45bxy
= -5bx×4a²b+-5bx×9y
=-5bx(4a²b+9y)

2m(a-b)-3n(b-a)
=2m(a-b)+3n(a-b)
=(a-b)(2m+3n)

(a-3)^2+(3-a)
=(a-3)²-(a-3)
=(a-3)(a-3-1)
=(a-3)(a-4)

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

a^n+2+a^n+1-a^n
=a^n(a²+a-1)

1/2a^2b^3-2a^2b+3ab^2
=1/2ab(ab²-4a+6b)

-5a^2b^3+20ab^2-5ab
=-5ab(ab²-4b+1)

5m(m-n)^4-10mn(n-m)^3
=5m(m-n)^4+10mn(m-n)³
=5m(m-n)³(m-n+2n)
=5m(m-n)³(m+n)

(a+b)y+(b+m)y+(a+m)y
=y(a+b+b+m+a+m)
=2y(a+b+m)

追问

a^n+2+a^n+1-a^n 1/2a^2b^3-2a^2b+3ab^2 -5a^2b^3+20ab^2-5ab 5m(m-n)^4-10mn(n-m)^3 (a+b)y+(b+m)Y+(a+m)y

追答

上面已经给你答案了

a^n+2+a^n+1-a^n
=a^n×a²+a^n×a-a^n×1
=a^n(a²+a-1)

1/2a^2b^3-2a^2b+3ab^2
=1/2ab×ab²- 1/2ab×4a+ 1/2ab×6b
=1/2ab (ab²-4a+6b)

-5a^2b^3+20ab^2-5ab
=-5ab(ab²-4b+1)

5m(m-n)^4-10mn(n-m)^3
=5m(m-n)^4+10mn(m-n)³
=5m(m-n)³(m-n+2n)
=5m(m-n)³(m+n)

(a+b)y+(b+m)y+(a+m)y
=y(a+b+b+m+a+m)
=2y(a+b+m)