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Popular >

factor w^{3x}+8

Solution

factor

w^{3 x} + 8

Solution

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

Solution steps

w^{3 x} + 8

Apply exponent rule:

a^{b c} = (a^{b})^{c}

w^{3 x} = (w^{x})^{3}

= (w^{x})^{3} + 8

Rewrite

8

as

2^{3}

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

Apply Sum of Cubes Formula:

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

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

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

Refine

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

Simplify

(w^{x} + 2) ((w^{x})^{2} - 2 w^{x} + 4) : (w^{x} + 2) (w^{2 x} - 2 w^{x} + 4)

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

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Frequently Asked Questions (FAQ)

What is factor w^{3x}+8 ?
The solution to factor w^{3x}+8 is (w^x+2)(w^{2x}-2w^x+4)