因式分解下列式子:x²-4y² a²+a 4ab-2a²b 9m²-m² 2am²-8a3x+3y -24m²x-16n²x x²-1 (xy)²-1 a四次方x²-a四次方y²

问题描述:

因式分解下列式子:x²-4y² a²+a 4ab-2a²b 9m²-m² 2am²-8a
3x+3y -24m²x-16n²x x²-1 (xy)²-1 a四次方x²-a四次方y²

3x+3y=3(X+Y)
-24m²x-16n²x=-8X(3M²+2N²)
x²-1=(X+1)(X-1)
(xy)²-1=(XY+1)(XY-1)
a四次方x²-a四次方y²=(A²X+A ²Y)(A²X-A²Y) =A²(X+Y)(X-y)

俊狼猎英团队为您解答

x²-4y² =(X+2Y)(X-2Y)
a²+a =a(a+1)
4ab-2a²b=2ab(2-a)
9m²-m² =8m^2
2am²-8a=2a(m^2-4)=2a(m+2)(m-2)
3x+3y=3(X+Y)
-24m²x-16n²x =-8X(3m^2+2n^2)
x²-1=(X+1)(X-1)
(xy)²-1 =(XY+1)(XY-1)
a四次方x²-a四次方y²=a^4(X^2-Y^2)=a^4(X+Y)(X-Y)