What is factor a^2m^4n^8-144 ?

The solution to factor a^2m^4n^8-144 is (am^2n^4+12)(am^2n^4-12)

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factor a^2m^4n^8-144

factor

a^{2} m^{4} n^{8} - 144

(a m^{2} n^{4} + 12) (a m^{2} n^{4} - 12)

Solution steps

a^{2} m^{4} n^{8} - 144

a^{2} m^{4} n^{8} = (a m^{2} n^{4})^{2}

144 = 1 2^{2}

= (a m^{2} n^{4})^{2} - 1 2^{2}

Apply Difference of Two Squares Formula:

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

(a m^{2} n^{4})^{2} - 1 2^{2} = (a m^{2} n^{4} + 12) (a m^{2} n^{4} - 12)

= (a m^{2} n^{4} + 12) (a m^{2} n^{4} - 12)

\frac{6}{n} + \frac{2}{( n + 1 )}

(2 i)^{n}

(\frac{( 4 x ^{2} \cdot y ^{4} )}{( z ^{2} )})^{4}

ln ((e^{x})^{2})

(\frac{( x ^{2} )}{y})^{3}

What is factor a^2m^4n^8-144 ?
The solution to factor a^2m^4n^8-144 is (am^2n^4+12)(am^2n^4-12)