What is factor 27g^3-h^3 ?

The solution to factor 27g^3-h^3 is (3g-h)(9g^2+3gh+h^2)

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factor 27g^3-h^3

factor

27 g^{3} - h^{3}

(3 g - h) (9 g^{2} + 3 g h + h^{2})

Solution steps

27 g^{3} - h^{3}

Apply exponent rules

= (3 g)^{3} - h^{3}

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 g)^{2} + 3 g h + h^{2} : 9 g^{2} + 3 g h + h^{2}

= (3 g - h) (9 g^{2} + 3 g h + h^{2})

\frac{7}{7} x - 5 + \frac{1}{7} x + 6

3 a (3 a + 2 c) - 4 b (b + c)

- 4 an - 1 - 3 an - 2 + 10 n^{2} - 2 n + 3

\frac{( ( 1 - 3 x ) ( 4 - x ) )}{( x )}

tan^{3} (x) + tan (x)

What is factor 27g^3-h^3 ?
The solution to factor 27g^3-h^3 is (3g-h)(9g^2+3gh+h^2)