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Popular >

factor (r+6)^3-216

Solution

factor

(r + 6)^{3} - 216

Solution

r (r^{2} + 18 r + 108)

Solution steps

(r + 6)^{3} - 216

Rewrite

216

as

6^{3}

= (r + 6)^{3} - 6^{3}

Apply Difference of Cubes Formula:

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

(r + 6)^{3} - 6^{3} = ((r + 6) - 6) ((r + 6)^{2} + 6 (r + 6) + 6^{2})

= ((r + 6) - 6) ((r + 6)^{2} + 6 (r + 6) + 6^{2})

Refine

= r ((r + 6)^{2} + 6 (r + 6) + 36)

Expand

(r + 6)^{2} + 6 (r + 6) + 36 : r^{2} + 18 r + 108

= r (r^{2} + 18 r + 108)

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factor (15-5sqrt(5))/2 factor

\frac{15 - 5 5}{2}

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x y + x^{2} - x z - yz

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factor 9^3+125 factor

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Frequently Asked Questions (FAQ)

What is factor (r+6)^3-216 ?
The solution to factor (r+6)^3-216 is r(r^2+18r+108)