分解因式﹙1﹚x²-9 ﹙2﹚a²-4/25b² ﹙3﹚16x²-4y²
2个回答

﹙1﹚x²-9

=x²-3²

=(x+3)(x-3)

﹙2﹚a²-4/25b²

=a²-(2/5b)²

=(a+2/5b)(a-2/5b)

﹙3﹚16x²-4y²

=4(4x²-y²)

=4(2x+y)(2x-y)

﹙4﹚9a²b²-81a²

=9a²(b²-9)

=9a²(b+3)(b-3)

﹙5﹚6a²b-54b

=6b(a²-9)

=6b(a+3)(a-3)

﹙6﹚x⁴-81y⁴

=(x²)²-(9y²)²

=(x²+9y²)(x²-9y²)

=(x²+9y²)(x+3y)(x-3y)

﹙7﹚﹙2a+b﹚²-﹙2a-b﹚²

=[(2a+b)+(2a-b)][(2a+b)-(2a-b)]

=4a×2b

=8ab

﹙8﹚9﹙x-2y﹚³-﹙x-2y﹚

=(x-2y)[9(x-2y)²-1]

=(x-2y)[3(x-2y)+1][3(x-2y)-1]

=(x-2y)(3x-6y+1)(3x-6y-1)