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Popular >

factor r^3+27g^3

Solution

factor

r^{3} + 27 g^{3}

Solution

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

Solution steps

r^{3} + 27 g^{3}

Apply exponent rules

= r^{3} + (3 g)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

r^{2} - r \cdot 3 g + (3 g)^{2} : r^{2} - 3 r g + 9 g^{2}

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

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\frac{5}{3} - \frac{4}{9}

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+ \frac{5}{2} \cdot + 8

Frequently Asked Questions (FAQ)

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