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Popular >

factor z^4-16

Solution

factor

z^{4} - 16

Solution

(z^{2} + 4) (z + 2) (z - 2)

Solution steps

z^{4} - 16

Apply exponent rules

= (z^{2})^{2} - 4^{2}

Apply Difference of Two Squares Formula:

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

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

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

Factor

z^{2} - 4 : (z + 2) (z - 2)

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

Popular Examples

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simplify (2.3*10^{-4})/(1.3*10^{-3)}simplify

\frac{2.3 \cdot 1 0 ^{- 4}}{1.3 \cdot 1 0 ^{- 3}}

factor 4x^{5/4}-2x^{1/4}factor

4 x^{\frac{5}{4}} - 2 x^{\frac{1}{4}}

- 7 n = 35

(x^2-1)/(x^2-x+1)<1

\frac{x ^{2} - 1}{x ^{2} - x + 1} < 1

Frequently Asked Questions (FAQ)

What is factor z^4-16 ?
The solution to factor z^4-16 is (z^2+4)(z+2)(z-2)