What is factor a^2m^4n^6-144 ?

The solution to factor a^2m^4n^6-144 is (am^2n^3+12)(am^2n^3-12)

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factor a^2m^4n^6-144

factor

a^{2} m^{4} n^{6} - 144

(a m^{2} n^{3} + 12) (a m^{2} n^{3} - 12)

Solution steps

a^{2} m^{4} n^{6} - 144

a^{2} m^{4} n^{6} = (a m^{2} n^{3})^{2}

144 = 1 2^{2}

= (a m^{2} n^{3})^{2} - 1 2^{2}

Apply Difference of Two Squares Formula:

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

(a m^{2} n^{3})^{2} - 1 2^{2} = (a m^{2} n^{3} + 12) (a m^{2} n^{3} - 12)

= (a m^{2} n^{3} + 12) (a m^{2} n^{3} - 12)

\frac{1}{9} \div 3

\frac{2}{x - 4} \cdot \frac{x - 12}{x - 5}

3 (- 14 x^{3} y^{5})

\frac{54}{36}

(2^{6})^{2}

What is factor a^2m^4n^6-144 ?
The solution to factor a^2m^4n^6-144 is (am^2n^3+12)(am^2n^3-12)