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Popular >

factor s^3+27t^3

Solution

factor

s^{3} + 27 t^{3}

Solution

(s + 3 t) (s^{2} - 3 s t + 9 t^{2})

Solution steps

s^{3} + 27 t^{3}

Apply exponent rules

= s^{3} + (3 t)^{3}

Apply Sum of Cubes Formula:

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

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

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

Simplify

s^{2} - s \cdot 3 t + (3 t)^{2} : s^{2} - 3 s t + 9 t^{2}

= (s + 3 t) (s^{2} - 3 s t + 9 t^{2})

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Frequently Asked Questions (FAQ)

What is factor s^3+27t^3 ?
The solution to factor s^3+27t^3 is (s+3t)(s^2-3st+9t^2)