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Popular >

factor x^3+1/8

Solution

factor

x^{3} + \frac{1}{8}

Solution

(x + \frac{1}{2}) (x^{2} - \frac{x}{2} + \frac{1}{4})

Solution steps

x^{3} + \frac{1}{8}

Apply radical rule:

a = (a)^{2}

Apply Sum of Cubes Formula:

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

= (x + \frac{1}{2}) (x^{2} - \frac{x}{2} + (\frac{1}{2})^{2})

Simplify

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

= (x + \frac{1}{2}) (x^{2} - \frac{x}{2} + \frac{1}{4})

Popular Examples

4/7 x+2x-8>=-17+3x

\frac{4}{7} x + 2 x - 8 \geq - 17 + 3 x

factor x^3+6x^2-25x-150 factor

x^{3} + 6 x^{2} - 25 x - 150

simplify-5/12-(-9/3)simplify

- \frac{5}{12} - (- \frac{9}{3})

∣ - 5 x + 4 ∣ \leq 9

3x-1+2(x+4)<2(2x-3)

3 x - 1 + 2 (x + 4) < 2 (2 x - 3)

Frequently Asked Questions (FAQ)

What is factor x^3+1/8 ?
The solution to factor x^3+1/8 is (x+1/2)(x^2-x/2+1/4)