因式分解(1-a²)(1-b²)+(a+b)²还有一道因式分解(x²+3x+4)(x²+3x+5)-6
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因式分解(1-a²)(1-b²)+(a+b)²还有一道因式分解(x²+3x+4)(x²+3x+5)-6
因式分解(1-a²)(1-b²)+(a+b)²
还有一道因式分解
(x²+3x+4)(x²+3x+5)-6
因式分解(1-a²)(1-b²)+(a+b)²还有一道因式分解(x²+3x+4)(x²+3x+5)-6
(1)
=1-a²-b²+a²b²+(a²+b²+2ab)
=1+a²b²+2ab
=(1+ab)²
(2)
=(x²+3x+4)²+(x²+3x+4)-6
=(x²+3x+4+3)(x²+3x+4-2)
=(x²+3x+7)(x²+3x+2)
=(x²+3x+7)(x+1)(x+2)
原式=1-a^2-b^2+a^2*b^2+a^2+b^2+2ab
=1+2ab+a^2*b^2
=(1+ab)^2
②原式=(x^2+3x)^2+9(x^2+3x)+14
=(x^2+3x+2)(x^2+3x+7)
=(x+1)(x+2))(x^2+3x+7)
原式=1-a²-b²+a²b²+a²+2ab+b²
=1+2ab+a²b²
=(1+ab)²