Question

用平方差公式分解因式 1 (a+b+c)²-(a+b-c)² 2 2ab³-2ab 3 4(2p+3q)²-(3p-q)²

注意看，是三道题

Answer 1

1 (a+b+c)²-(a+b-c)² =(a+b+c+a+b-c)(a+b+c-a-b+c)=(2a+2b)(2c)=4c(a+b)
2 2ab³-2ab=2ab(b²-1)=2ab(b+1)(b-1)
3 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)

Answer 2

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