What is factor m^6y^3-n^3z^6 ?

The solution to factor m^6y^3-n^3z^6 is (m^2y-nz^2)(m^4y^2+nm^2yz^2+n^2z^4)

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factor m^6y^3-n^3z^6

factor

m^{6} y^{3} - n^{3} z^{6}

(m^{2} y - n z^{2}) (m^{4} y^{2} + n m^{2} y z^{2} + n^{2} z^{4})

Solution steps

m^{6} y^{3} - n^{3} z^{6}

Rewrite

m^{6} y^{3}

(m^{2} y)^{3}

Rewrite

n^{3} z^{6}

(n z^{2})^{3}

= (m^{2} y)^{3} - (n z^{2})^{3}

Apply Difference of Cubes Formula:

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

(m^{2} y)^{3} - (n z^{2})^{3} = (m^{2} y - n z^{2}) ((m^{2} y)^{2} + n z^{2} m^{2} y + (n z^{2})^{2})

= (m^{2} y - n z^{2}) ((n z^{2})^{2} + n z^{2} m^{2} y + (m^{2} y)^{2})

Simplify

(m^{2} y - n z^{2}) ((m^{2} y)^{2} + n z^{2} m^{2} y + (n z^{2})^{2}) : (m^{2} y - n z^{2}) (m^{4} y^{2} + n m^{2} y z^{2} + n^{2} z^{4})

= (m^{2} y - n z^{2}) (m^{4} y^{2} + n m^{2} y z^{2} + n^{2} z^{4})

e^{(x + y)}

(n)^{2}

2^{(a + b)}

(x - a)^{3} + b^{3}

+ 2 k^{2} - 16 k^{2} - 3 k + 24

What is factor m^6y^3-n^3z^6 ?
The solution to factor m^6y^3-n^3z^6 is (m^2y-nz^2)(m^4y^2+nm^2yz^2+n^2z^4)