分解因式:4(2p+3q)^2-(3p-q)^2RTRTRT

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分解因式:4(2p+3q)^2-(3p-q)^2RTRTRT

分解因式:4(2p+3q)^2-(3p-q)^2RTRTRT
分解因式:4(2p+3q)^2-(3p-q)^2
RTRTRT

分解因式:4(2p+3q)^2-(3p-q)^2RTRTRT
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)

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

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)

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