Question

1(a-b)^3(x-y)^2=( )(b-a)^3(y-x)^2 2)a^2b^2+a^2+b^2+1-2ab=2ab,a+b=?

因式分解
1)-8a^mb^3+12a^m+1+16a^m+2b
2)x(x-y)(a-b)-y(y-x)(b-a)
分解因式
1)(x+y)(x-1)-xy-y^2
2)(ax+by)^2+(bx-ay)^2

Answer 1

小妹妹，又是你

(a-b)^3(x-y)^2=( -)(b-a)^3(y-x)^2

a^2b^2+a^2+b^2+1-2ab=2ab,a+b=2

1)-8a^mb^3+12a^m+1+16a^m+2b
=-4a^m(2b³-3a-4a²b)

2)x(x-y)(a-b)-y(y-x)(b-a)
=x(x-y)(a-b)-y(x-y)(a-b)
=(x-y)(a-b)(x-y)
=(x-y)²(a-b)
分解因式
1)(x+y)(x-1)-xy-y^2
=x²+xy-x-y-xy-y²
=(x-y)(x+y)-(x+y)
=(x+y)(x-y-1)

2)(ax+by)^2+(bx-ay)^2
=a²x²+2abxy+b²y²+b²x²-2abxy+a²y²
=a²(x²+y²)+b²(x²+y²)
=(x²+y²)(a²+b²)