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Popular >

factor (t-3)^3+64

Solution

factor

(t - 3)^{3} + 64

Solution

(t + 1) (t^{2} - 10 t + 37)

Solution steps

(t - 3)^{3} + 64

Rewrite

64

as

4^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

= (t + 1) ((t - 3)^{2} - 4 (t - 3) + 16)

Expand

(t - 3)^{2} - 4 (t - 3) + 16 : t^{2} - 10 t + 37

= (t + 1) (t^{2} - 10 t + 37)

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Frequently Asked Questions (FAQ)

What is factor (t-3)^3+64 ?
The solution to factor (t-3)^3+64 is (t+1)(t^2-10t+37)