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Popular >

factor (4+h)^3-64

Solution

factor

(4 + h)^{3} - 64

Solution

h (h^{2} + 12 h + 48)

Solution steps

(4 + h)^{3} - 64

Rewrite

64

as

4^{3}

= (4 + h)^{3} - 4^{3}

Apply Difference of Cubes Formula:

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

(4 + h)^{3} - 4^{3} = ((4 + h) - 4) ((4 + h)^{2} + 4 (4 + h) + 4^{2})

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

Refine

= h ((h + 4)^{2} + 4 (h + 4) + 16)

Expand

(4 + h)^{2} + 4 (4 + h) + 16 : h^{2} + 12 h + 48

= h (h^{2} + 12 h + 48)

Popular Examples

simplify (3t)^{-2}simplify

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\frac{14}{5} = \frac{z}{25}

simplify x^3x^2 simplify

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factor x^4+x^3-24x^2-25x-25 factor

x^{4} + x^{3} - 24 x^{2} - 25 x - 25

z^{2} + 5 z - 6 = 0

Frequently Asked Questions (FAQ)

What is factor (4+h)^3-64 ?
The solution to factor (4+h)^3-64 is h(h^2+12h+48)