What is expand [2a^2(a^2-b^2)]m^2 ?

The solution to expand [2a^2(a^2-b^2)]m^2 is 2a^4m^2-2a^2b^2m^2

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expand [2a^2(a^2-b^2)]m^2

expand

[2 a^{2} (a^{2} - b^{2})] m^{2}

2 a^{4} m^{2} - 2 a^{2} b^{2} m^{2}

Solution steps

(2 a^{2} (a^{2} - b^{2})) m^{2}

Remove parentheses:

(a) = a

= 2 a^{2} (a^{2} - b^{2}) m^{2}

= 2 a^{2} m^{2} (a^{2} - b^{2})

Apply the distributive law:

a (b - c) = ab - a c

a = 2 a^{2} m^{2}, b = a^{2}, c = b^{2}

= 2 a^{2} m^{2} a^{2} - 2 a^{2} m^{2} b^{2}

= 2 a^{2} a^{2} m^{2} - 2 a^{2} b^{2} m^{2}

2 a^{2} a^{2} m^{2} = 2 a^{4} m^{2}

= 2 a^{4} m^{2} - 2 a^{2} b^{2} m^{2}

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(tan^{2} (14 x) - cot^{2} (14 x))^{2}

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- \frac{20 x ^{\frac{2}{3}} ( x ^{5} - 5 x ^{2} + 5 )}{3}

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What is expand [2a^2(a^2-b^2)]m^2 ?
The solution to expand [2a^2(a^2-b^2)]m^2 is 2a^4m^2-2a^2b^2m^2