分解因式.16(x+y)^2-25(x-y)^2

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分解因式.16(x+y)^2-25(x-y)^2
分解因式.16(x+y)^2-25(x-y)^2

分解因式.16(x+y)^2-25(x-y)^2
16(x+y)^2-25(x-y)^2
=(4x+4y)²-(5x-5y)²
=[(4x+4y)+(5x-5y)][(4x+4y)-(5x-5y)]
=(9x-y)(-x+9y)
=(9x-y)(9y-x)

16(x+y)^2-25(x-y)^2
=4^2(x-y)^2-5^2(x-y)^2
=[4(x+y)+5(x-y)][4(x+y)-5(x-y)]
=(9x-y)(9y-x)