What is factor 3x^6y^2+192y^2 ?

The solution to factor 3x^6y^2+192y^2 is 3y^2(x^2+4)(x^4-4x^2+16)

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factor 3x^6y^2+192y^2

factor

3 x^{6} y^{2} + 192 y^{2}

3 y^{2} (x^{2} + 4) (x^{4} - 4 x^{2} + 16)

Solution steps

3 x^{6} y^{2} + 192 y^{2}

Factor out common term

3 y^{2} : 3 y^{2} (x^{6} + 64)

= 3 y^{2} (x^{6} + 64)

Factor

x^{6} + 64 : (x^{2} + 4) (x^{4} - 4 x^{2} + 4^{2})

= 3 y^{2} (x^{2} + 4) (x^{4} - 4 x^{2} + 4^{2})

4^{2} = 16

= 3 y^{2} (x^{2} + 4) (x^{4} - 4 x^{2} + 16)

\frac{6}{2} + \frac{10}{4}

(\frac{1}{x ^{2}} + \frac{1}{y ^{2}})^{- 1}

x^{2} + 2 x = 80

1 5^{2} + 1 2^{2}

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

What is factor 3x^6y^2+192y^2 ?
The solution to factor 3x^6y^2+192y^2 is 3y^2(x^2+4)(x^4-4x^2+16)