What is factor 1+8x^3 ?

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

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factor 1+8x^3

factor

1 + 8 x^{3}

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

Solution steps

1 + 8 x^{3}

Write in the standard form

= 8 x^{3} + 1

Apply exponent rules

= (2 x)^{3} + 1^{3}

Apply Sum of Cubes Formula:

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

(2 x)^{3} + 1^{3} = (2 x + 1) (2^{2} x^{2} - 2 x + 1)

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

2^{2} = 4

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

- 189 x^{2} + 105 x

x^{3} y^{5}

3 \frac{1}{200}

\frac{y}{6 x}

(3 x^{3} + 2 x - 1) + (4 x^{2} - 2 x + 7)