Question

因式分解；第二题：（5x-3y)²-(3x-5y)²

要步骤

Answer 1

利用平方差公式：
（5x-3y）²-(3x-5y)²=(5x-3y+3x-5y)(5x-3y-3x+5y)=16(x-y)(x+y)

Answer 2

：（5x-3y)²-(3x-5y)²
=【（5x-3y)+(3x-5y)][(5x-3y)-(3x-5y)]
=(5x-3y+3x-5y)(5x-3y-3x+5y)
=(8x-8y)(2x+2y)
=16(x-y)(x+y)

Answer 3

（5x-3y)²-(3x-5y)²

=(5x-3y＋3x-5y)(5x-3y－3x＋5y)
=(8x－8y)(2x＋2y)
=8*(x－y)*2*(x＋y)
=16*(x＋y)(x－y)

Answer 4

(5x-3y+3x-5y)(5x-3y-3x+5y)
=(8x-8y)(2x+2y)
=16(x-y)(x+y)

Answer 5

（5x-3y)²-(3x-5y)²

=（5x-3y+3x-5y)(5x-3y-3x+5y)
=(8x-8y)(2x+2y)
=16(x-y)(x+y)