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Popular >

factor x^6+64

Solution

factor

x^{6} + 64

Solution

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

Solution steps

x^{6} + 64

Apply exponent rules

= (x^{2})^{3} + 4^{3}

Apply Sum of Cubes Formula:

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

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

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

4^{2} = 16

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

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\frac{1}{4} - 1

Frequently Asked Questions (FAQ)

What is factor x^6+64 ?
The solution to factor x^6+64 is (x^2+4)(x^4-4x^2+16)