Question

分解因式8a³+8a²+2a 4m²-9n²-4m+1 x²（y-z）+81（z-y） 9m²-6m+2n-n²

Answer 1

8a³+8a²+2a

=2a(4a²+4a+1)

=2a(2a+1)²

4m²-9n²-4m+1

=4m²-4m+1-9n²

=(2m-1)²-9n²

=(2m-1+3n)(2m-1-3n)

x²（y-z）+81（z-y）

=(y-z)(x²-81)

=(y-z)(x+9)(x-9)

9m²-6m+2n-n²

=9m²-6m-n²+2n

=9m²-6m+1-(n²-2n+1)

=(3m-1)²-(n-1)²

=(3m-1+n-1)(3m-1-n+1)

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