What is factor 486+108x+6x^2 ?

The solution to factor 486+108x+6x^2 is 6(x+9)^2

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factor 486+108x+6x^2

factor

486 + 108 x + 6 x^{2}

6 (x + 9)^{2}

Solution steps

486 + 108 x + 6 x^{2}

Write in the standard form

= 6 x^{2} + 108 x + 486

Factor out common term

6 : 6 (x^{2} + 18 x + 81)

= 6 (x^{2} + 18 x + 81)

Factor

x^{2} + 18 x + 81 : (x + 9) (x + 9)

= 6 (x + 9) (x + 9)

Apply exponent rule:

aa = a^{2}

(x + 9) (x + 9) = (x + 9)^{2}

= 6 (x + 9)^{2}

2 \cdot 32

\frac{1}{\frac{2}{\frac{3}{2}}}

5 u^{2} - 14 u - 3

- 6 a^{2} + 48 a - 64

(5 y^{2})^{- 2}