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Popular >

factor t^3+8

Solution

factor

t^{3} + 8

Solution

(t + 2) (t^{2} - 2 t + 4)

Solution steps

t^{3} + 8

Rewrite

8

as

2^{3}

= t^{3} + 2^{3}

Apply Sum of Cubes Formula:

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

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

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

2^{2} = 4

= (t + 2) (t^{2} - 2 t + 4)

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Frequently Asked Questions (FAQ)

What is factor t^3+8 ?
The solution to factor t^3+8 is (t+2)(t^2-2t+4)