分解因式1:(x-y)的3次方-x(y-x)² 2:4x²-9y² 3:16a²-(b-2c)²

问题描述:

分解因式1:(x-y)的3次方-x(y-x)² 2:4x²-9y² 3:16a²-(b-2c)²

(x-y)³-x(y-x)²
=(X—y)(x-y)²-x(X—y)²
=(X—y—X)(X—y)²
=—y(X²—2Xy+y²)
=—X²y+2Xy²—y³
4x²-9y²
=(2x)²-(3y)²
=(2X+3y)(2X—3y)
16a²-(b-2c)²
=(4a)²-(b-2c)²
=(4a+b—2c)-(4a—b+2c)