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Popular >

factor t^3+64

Solution

factor

t^{3} + 64

Solution

(t + 4) (t^{2} - 4 t + 16)

Solution steps

t^{3} + 64

Rewrite

64

as

4^{3}

= t^{3} + 4^{3}

Apply Sum of Cubes Formula:

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

t^{3} + 4^{3} = (t + 4) (t^{2} - 4 t + 4^{2})

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

4^{2} = 16

= (t + 4) (t^{2} - 4 t + 16)

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Frequently Asked Questions (FAQ)

What is factor t^3+64 ?
The solution to factor t^3+64 is (t+4)(t^2-4t+16)