不法之徒广播剧哪期有h:数学问题求助(1.6)

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分解因式(X+Y)乘以(X-Y)+4(Y-1)

(X+Y)*(X-Y)+4(Y-1)

=X^2-Y^2+4Y-4 (乘开)

=X^2-(Y^2-4Y+4) (结合律)

=X^2-(Y-2)^2 (完全平方)

=(X-Y+2)(X+Y-2) (平方差公式)

(X+Y)(X-Y)+4(Y-1)
=X^2-Y^2+4Y-4
=X^2-(Y-2)^2
=(X-Y+2)(X+Y-2)

解:(X+Y)(X-Y)+4(Y-1)
=X^2-Y^2+4Y-4
=X^2-(Y^2-4Y+4)
=X^2-(Y-2)^2
=(X+Y-2)(X-Y+2)。

(X+Y)*(X-Y)+4(Y-1)

=X^2-Y^2+4Y-4 (乘开)

=X^2-(Y^2-4Y+4) (结合律)

=X^2-(Y-2)^2 (完全平方)

=(X-Y+2)(X+Y-2) (平方差公式)

(X+Y)(X-Y)+4(Y-1)
=X^2-Y^2+4Y-4
=X^2-(Y-2)^2
=(X-Y+2)(X+Y-2)