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Popular >

factor d^9+64

Solution

factor

d^{9} + 64

Solution

(d^{3} + 4) (d^{6} - 4 d^{3} + 16)

Solution steps

d^{9} + 64

Apply exponent rules

= (d^{3})^{3} + 4^{3}

Apply Sum of Cubes Formula:

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

(d^{3})^{3} + 4^{3} = (d^{3} + 4) (d^{6} - 4 d^{3} + 4^{2})

= (d^{3} + 4) (d^{6} - 4 d^{3} + 4^{2})

4^{2} = 16

= (d^{3} + 4) (d^{6} - 4 d^{3} + 16)

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Frequently Asked Questions (FAQ)

What is factor d^9+64 ?
The solution to factor d^9+64 is (d^3+4)(d^6-4d^3+16)