What is expand (e^2+2)(e^2-2) ?

The solution to expand (e^2+2)(e^2-2) is e^4-4

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expand (e^2+2)(e^2-2)

expand

(e^{2} + 2) (e^{2} - 2)

e^{4} - 4

Solution steps

(e^{2} + 2) (e^{2} - 2)

Apply Difference of Two Squares Formula:

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

a = e^{2}, b = 2

= (e^{2})^{2} - 2^{2}

Simplify

(e^{2})^{2} - 2^{2} : e^{4} - 4

= e^{4} - 4

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