What is factor p^8-16 ?

The solution to factor p^8-16 is (p^2+2p+2)(p^2-2p+2)(p^2+2)(p^2-2)

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factor p^8-16

factor

p^{8} - 16

(p^{2} + 2 p + 2) (p^{2} - 2 p + 2) (p^{2} + 2) (p^{2} - 2)

Solution steps

p^{8} - 16

Apply exponent rules

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

Apply Difference of Two Squares Formula:

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

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

= (p^{4} + 4) (p^{4} - 4)

Factor

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

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

Factor

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

= (p^{2} + 2 p + 2) (p^{2} - 2 p + 2) (p^{2} + 2) (p^{2} - 2)

\frac{\frac{\frac{301}{a}}{\frac{251582316}{0}}}{b ^{0}}

42 x + 48 y

a^{2} - x^{2} - a - x

\frac{( 49 y ^{12} )}{( 35 y ^{6} )}

6 (- 5 r - 4) - 2 (r - 7 s - 3)

What is factor p^8-16 ?
The solution to factor p^8-16 is (p^2+2p+2)(p^2-2p+2)(p^2+2)(p^2-2)