What is factor x^6+6x^5+9x^4-x^2-6x-9 ?

The solution to factor x^6+6x^5+9x^4-x^2-6x-9 is (x+3)^2(x^2+1)(x+1)(x-1)

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factor x^6+6x^5+9x^4-x^2-6x-9

factor

x^{6} + 6 x^{5} + 9 x^{4} - x^{2} - 6 x - 9

(x + 3)^{2} (x^{2} + 1) (x + 1) (x - 1)

Solution steps

x^{6} + 6 x^{5} + 9 x^{4} - x^{2} - 6 x - 9

= (x^{6} + 6 x^{5} + 9 x^{4}) + (- x^{2} - 6 x - 9)

Factor out

x^{4}

from

x^{6} + 6 x^{5} + 9 x^{4} : x^{4} (x^{2} + 6 x + 9)

Factor out

- 1

from

- x^{2} - 6 x - 9 : - (x^{2} + 6 x + 9)

= x^{4} (x^{2} + 6 x + 9) - (x^{2} + 6 x + 9)

Factor out common term

(x^{2} + 6 x + 9) : (x^{2} + 6 x + 9) (x^{4} - 1)

= (x^{2} + 6 x + 9) (x^{4} - 1)

Factor

x^{2} + 6 x + 9 : (x + 3) (x + 3)

= (x + 3) (x + 3) (x^{4} - 1)

Factor

x^{4} - 1 : (x^{2} + 1) (x + 1) (x - 1)

= (x + 3) (x + 3) (x^{2} + 1) (x + 1) (x - 1)

Apply exponent rule:

aa = a^{2}

(x + 3) (x + 3) = (x + 3)^{2}

= (x + 3)^{2} (x^{2} + 1) (x + 1) (x - 1)

2 x \times 2 x

(3 x + 4) (2 x - 9)

1 - 25 y^{2}

312 \times 6

What is factor x^6+6x^5+9x^4-x^2-6x-9 ?
The solution to factor x^6+6x^5+9x^4-x^2-6x-9 is (x+3)^2(x^2+1)(x+1)(x-1)