Question

因式分解 1、4(a+b)^2-2a-2b 2、6a^2-a-9a^3 3\(x-y)(x-2y)-6y^2 4\3x^2+2xy-5y^2 5\6a^2-5ab-6b^2

因式分解
1、4(a+b)^2-2a-2b
2、6a^2-a-9a^3
3\(x-y)(x-2y)-6y^2
4\3x^2+2xy-5y^2
5\6a^2-5ab-6b^2

Answer 1

1、4(a+b)^2-2a-2b
=4(a+b)²-2(a+b)
=2(a+b)(2a+2b-1)

2、6a^2-a-9a^3
=-a(9a²-6a+1)
=-a(3a-1)²

3,(x-y)(x-2y)-6y^2
=x²-3xy+2y²-6y²
=x²-3xy-4y²
=(x-4y)(x+y)

4.3x^2+2xy-5y^2
=(3x+5y)(x-y)

5.6a^2-5ab-6b^2
=(3a+2b)(2a-3b)

Answer 2

1、4(a+b)^2-2a-2b=4(a+b)²-2(a+b)=2(a+b)(2a+2b-1)
2、6a^2-a-9a^3=-a(9a²-6a+1)=-a(3a-1)²
3\(x-y)(x-2y)-6y^2=x²-3xy-4y²=(x-4y)(x+y)
4\3x^2+2xy-5y^2=(3x+5y)(x-y)
5\6a^2-5ab-6b^2=(3a+2b)(2a-3b)