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Popular >

expand (m^3-n^3)^2

Solution

expand

(m^{3} - n^{3})^{2}

Solution

m^{6} - 2 m^{3} n^{3} + n^{6}

Solution steps

(m^{3} - n^{3})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

(m^{3})^{2} - 2 m^{3} n^{3} + (n^{3})^{2} : m^{6} - 2 m^{3} n^{3} + n^{6}

= m^{6} - 2 m^{3} n^{3} + n^{6}

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Frequently Asked Questions (FAQ)

What is expand (m^3-n^3)^2 ?
The solution to expand (m^3-n^3)^2 is m^6-2m^3n^3+n^6