分解因式：4（2p+3q)^2-(3p-q)^2RTRTRT

分类: 作业答案 • 2022-06-28 10:46:43

问题描述：

分解因式：4（2p+3q)^2-(3p-q)^2
RTRTRT

答

7p^2-44pq-35q^ 2

答

4（2p+3q)^2-(3p-q)^2
=(4p+6q)^2-(3p-q)^2
=(4p+6q+3p-q)(4p+6q-3p+q)
=(7p+5q)(p+7q)

答

4（2p+3q)^2-(3p-q)^2
=[2(2p+3q)-(3p-q)][2(2p+3q)+(3p-q)]
=(4p+6q-3p+q)(4p+6q+3p-q)
=(p+7q)(7p+5q)

答

4（2p+3q)^2-(3p-q)^2
=(4p+6q-3p+q)(4p+6q+p-q)
=(p+7q)(5p-5q)
=5(p+7q)(p-q)