因式分解:3a(b²+9)²-108ab².3a(x²+4)²-48ax²

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/18 11:50:20
因式分解:3a(b²+9)²-108ab².3a(x²+4)²-48ax²因式分解:3a(b²+9)²-108ab

因式分解:3a(b²+9)²-108ab².3a(x²+4)²-48ax²
因式分解:3a(b²+9)²-108ab².3a(x²+4)²-48ax²

因式分解:3a(b²+9)²-108ab².3a(x²+4)²-48ax²
3a(b²+9)²-108ab²
=3a[(b²+9)²-36b²]
=3a[(b²+9)+6b][(b²+9)-6b]
=3a(b²+6b+9)(b²-6b+9)
=3a(b+3)²(b-3)²
3a(x²+4)²-48ax²
=3a[(x²+4)²-16x²]
=3a[(x²+4)+4x][(x²+4)-4x]
=3a(x²+4x+4)(x²-4x+4)
=3a(x+2)²(x-2)²
很高兴为您解答,【the 1990】团队为您答题.
请点击下面的【选为满意回答】按钮.

3a(b²+9)²-108ab²
=3a【(b²+9)²-36b²】
=3a【(b²+9-6b)(b²+9+6b)】
=3a(b-3)²(b+3)²
3a(x²+4)²-48ax²
=3a【(x²+4)²-16...

全部展开

3a(b²+9)²-108ab²
=3a【(b²+9)²-36b²】
=3a【(b²+9-6b)(b²+9+6b)】
=3a(b-3)²(b+3)²
3a(x²+4)²-48ax²
=3a【(x²+4)²-16x²】
=3a【(x²+4+4x)(x²+4-4x)】
=3a(x+2)²(x-2)²

收起

3a(b²+9)²-108ab²
=3a[(b²+9)²-36b²]
=3a[(b²+9)+6b][(b²+9)-6b]
=3a(b²+6b+9)(b²-6b+9)
=3a(b+3)²(b-3)²
3a(x²+4)²-4...

全部展开

3a(b²+9)²-108ab²
=3a[(b²+9)²-36b²]
=3a[(b²+9)+6b][(b²+9)-6b]
=3a(b²+6b+9)(b²-6b+9)
=3a(b+3)²(b-3)²
3a(x²+4)²-48ax²
=3a[(x²+4)²-16x²]
=3a[(x²+4)+4x][(x²+4)-4x]
=3a(x²+4x+4)(x²-4x+4)
=3a(x+2)²(x-2)²

收起