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Popular >

factor (2+h)^3-8

Solution

factor

(2 + h)^{3} - 8

Solution

h (h^{2} + 6 h + 12)

Solution steps

(2 + h)^{3} - 8

Rewrite

8

as

2^{3}

= (2 + h)^{3} - 2^{3}

Apply Difference of Cubes Formula:

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

(2 + h)^{3} - 2^{3} = ((2 + h) - 2) ((2 + h)^{2} + 2 (2 + h) + 2^{2})

= ((2 + h) - 2) ((2 + h)^{2} + 2 (2 + h) + 2^{2})

Refine

= h ((h + 2)^{2} + 2 (h + 2) + 4)

Expand

(2 + h)^{2} + 2 (2 + h) + 4 : h^{2} + 6 h + 12

= h (h^{2} + 6 h + 12)

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Frequently Asked Questions (FAQ)

What is factor (2+h)^3-8 ?
The solution to factor (2+h)^3-8 is h(h^2+6h+12)