x^3 +6x² +11x+6a²(a+2b)² - 9(x+y)²
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x^3 +6x² +11x+6a²(a+2b)² - 9(x+y)²
x^3 +6x² +11x+6
a²(a+2b)² - 9(x+y)²
x^3 +6x² +11x+6a²(a+2b)² - 9(x+y)²
1、f(-3)=0
由因式定理,使用长除法
所以=(x+3)(x^2+3x+2)
=(x+3)(x+1)(x+2)
2、=(a^2+2ab)^2-(3x+3y)^2
=(a^2+2ab+3x+3y)(a^2+2ab-3x-3y)
﹙1﹚x³+6x²+11x+6
=x³+6x²+9x+2x+6
=x﹙x+3﹚²+2﹙x+3﹚
=﹙x+3﹚﹙x²+3x+2﹚
=﹙x+1﹚﹙x+2﹚﹙x+3﹚
﹙2﹚a²﹙a+2b﹚...
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﹙1﹚x³+6x²+11x+6
=x³+6x²+9x+2x+6
=x﹙x+3﹚²+2﹙x+3﹚
=﹙x+3﹚﹙x²+3x+2﹚
=﹙x+1﹚﹙x+2﹚﹙x+3﹚
﹙2﹚a²﹙a+2b﹚²-9﹙x+y﹚²
=﹙a²+2ab﹚²-﹙3x+3y﹚²
=﹙a²+2ab-3x-3y﹚﹙a²+2ab+3x+3y﹚
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x³+6x²+11x+6
=(x³+x²)+(5x²+11x+6)
=x²(x+1)+(x+1)(5x+6)
=(x+1)(x²+5x+6)
=(x+1)(x+2)(x+3)