Question

分解因式 a^2(b-5)+a(5-b)

x^3+9+3x^2+3x

Answer 1

a^2(b-5)+a(5-b)
=a²(b-5)-a(b-5)
=a(b-5)(a-1)

x^3+9+3x^2+3x
=x³+3x²+3x+9
=x²(x+3)+3(x+3)
=(x+3)(x²+3)

Answer 2

a^2(b-5)+a(5-b)
=a^2(b-5)-a(b-5)
=(b-5)(a^2-a)
=a(b-5)(a-1)

x^3+9+3x^2+3x
=(x^3+3x^2)+(3x+9)
=x^2(x+3)+3(x+3)
=(x+3)(x^2+3)