几道初二因式分解题(1)X^3-1 (2) 2a^2+4ab+2b^2 (3) (XY)^-1 (4) (x-y)^2+
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几道初二因式分解题
(1)X^3-1 (2) 2a^2+4ab+2b^2 (3) (XY)^-1 (4) (x-y)^2+4xy (5) 2x(a-2)-y(2-a)
(1)X^3-1 (2) 2a^2+4ab+2b^2 (3) (XY)^-1 (4) (x-y)^2+4xy (5) 2x(a-2)-y(2-a)
1.
x³-1=(x-1)(x²+x+1) 立方差公式
2.
2a^2+4ab+2b^2
=2(a²+2ab+b²)
=2(a+b)²
3.
(xy)²-1
=(xy+1)(xy-1)
4.
(x-y)^2+4xy
=x²-2xy+y²+4xy
=x²+2xy+y²
=(x+y)²
5.
2x(a-2)-y(2-a)
=2x(a-2)+y(a-2)
=(a-2)(2x+y)
x³-1=(x-1)(x²+x+1) 立方差公式
2.
2a^2+4ab+2b^2
=2(a²+2ab+b²)
=2(a+b)²
3.
(xy)²-1
=(xy+1)(xy-1)
4.
(x-y)^2+4xy
=x²-2xy+y²+4xy
=x²+2xy+y²
=(x+y)²
5.
2x(a-2)-y(2-a)
=2x(a-2)+y(a-2)
=(a-2)(2x+y)
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