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Popular >

factor t^3+125

Solution

factor

t^{3} + 125

Solution

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

Solution steps

t^{3} + 125

Rewrite

125

as

5^{3}

= t^{3} + 5^{3}

Apply Sum of Cubes Formula:

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

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

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

5^{2} = 25

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

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Frequently Asked Questions (FAQ)

What is factor t^3+125 ?
The solution to factor t^3+125 is (t+5)(t^2-5t+25)