What is factor 125+g^3 ?

The solution to factor 125+g^3 is (g+5)(g^2-5g+25)

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factor 125+g^3

factor

125 + g^{3}

(g + 5) (g^{2} - 5 g + 25)

Solution steps

125 + g^{3}

Write in the standard form

= g^{3} + 125

Rewrite

125

5^{3}

= g^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

g^{3} + 5^{3} = (g + 5) (g^{2} - 5 g + 5^{2})

= (g + 5) (g^{2} - 5 g + 5^{2})

5^{2} = 25

= (g + 5) (g^{2} - 5 g + 25)

(- \frac{2}{9}) (\frac{8}{11})

\frac{3 ^{2} x}{3 x ^{2}}

2 (x + 5)

\frac{210}{100}

- 3 + \frac{8}{3}