因式分解:x^3+6x^2+12x+9

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因式分解:x^3+6x^2+12x+9因式分解:x^3+6x^2+12x+9因式分解:x^3+6x^2+12x+9x^3+6x^2+12x+9=x^2(x+3)+3x^2+12x+9=x^2(x+3)

因式分解:x^3+6x^2+12x+9
因式分解:x^3+6x^2+12x+9

因式分解:x^3+6x^2+12x+9
x^3+6x^2+12x+9
= x^2(x+3) + 3x^2+12x+9
= x^2(x+3) + 3x(x+3) + 3(x+3)
= (x^2+3x+3)(x+3)

x^3+6x^2+12x+9=(x+3)(x^2+3x+3)

(x+3)*(x^2+3x+3)

原式=x(x^2+6x+12)+9
=x[(x+3)^2+3]+9
=x(x+3)^2+3x+9
=x(x+3)^2+3(x+3)
=(x+3)(x^2+3x+3)

x³+6x²+12x+9
= x²(x+3) + 3x²+12x+9
= x²(x+3) + 3x(x+3) + 3(x+3)
= (x²+3x+3)(x+3)