What is factor 27+8x^3 ?

The solution to factor 27+8x^3 is (2x+3)(4x^2-6x+9)

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factor 27+8x^3

factor

27 + 8 x^{3}

(2 x + 3) (4 x^{2} - 6 x + 9)

Solution steps

27 + 8 x^{3}

Write in the standard form

= 8 x^{3} + 27

Apply exponent rules

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

Apply Sum of Cubes Formula:

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

(2 x)^{3} + 3^{3} = (2 x + 3) (2^{2} x^{2} - 3 \cdot 2 x + 3^{2})

= (2 x + 3) (2^{2} x^{2} - 3 \cdot 2 x + 3^{2})

Simplify

(2 x + 3) (2^{2} x^{2} - 3 \cdot 2 x + 3^{2}) : (2 x + 3) (4 x^{2} - 6 x + 9)

= (2 x + 3) (4 x^{2} - 6 x + 9)

k^{3} + 7 k^{2} - 44 k

\frac{6 ^{10}}{6 ^{4}}

(\frac{375}{343})^{\frac{1}{3}}

25 x^{2} - 30 x y + 9 y^{2}

(2 y + 11)^{2} = 18