已知:X+Y=8,求:X2+16Y-Y2的值
解:X2+16Y-Y2
=X2-Y2+16Y
=(X+Y)(X-Y)+16Y
=8(X-Y)+16Y
=8X-8Y+16Y
=8X+8Y
=8(X+Y)
=8*8
=64
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