What is factor a^2b^8-c^2 ?

The solution to factor a^2b^8-c^2 is (ab^4+c)(ab^4-c)

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factor a^2b^8-c^2

factor

a^{2} b^{8} - c^{2}

(a b^{4} + c) (a b^{4} - c)

Solution steps

a^{2} b^{8} - c^{2}

Simplify

a^{2} b^{8} : (a b^{4})^{2}

= (a b^{4})^{2} - c^{2}

Apply Difference of Two Squares Formula:

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

(a b^{4})^{2} - c^{2} = (a b^{4} + c) (a b^{4} - c)

= (a b^{4} + c) (a b^{4} - c)

4 k^{2} + 28 k + 48

\frac{14 a}{11} > \frac{4}{3}

\frac{7 a}{a ^{2} - p ^{2}} - \frac{1}{a - p}

13 = \frac{r}{9} + 8

\frac{3 ^{- 2}}{9 ^{0}}

What is factor a^2b^8-c^2 ?
The solution to factor a^2b^8-c^2 is (ab^4+c)(ab^4-c)