What is expand (ae^2-10)^2 ?

The solution to expand (ae^2-10)^2 is e^4a^2-20e^2a+100

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expand (ae^2-10)^2

expand

(a e^{2} - 10)^{2}

e^{4} a^{2} - 20 e^{2} a + 100

Solution steps

(a e^{2} - 10)^{2}

= (e^{2} a - 10)^{2}

Apply Perfect Square Formula:

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

a = a e^{2}, b = 10

= (a e^{2})^{2} - 2 a e^{2} \cdot 10 + 1 0^{2}

Simplify

(a e^{2})^{2} - 2 a e^{2} \cdot 10 + 1 0^{2} : e^{4} a^{2} - 20 e^{2} a + 100

= e^{4} a^{2} - 20 e^{2} a + 100

(3 x^{2} - 2 x - 2) l e f t (2 x^{2} + 3 x + 4)

cos (θ) (1 - sin (θ))

(y^{''} (t) + 2 y^{'} (t) + 2)^{2}

cos (θ) cot (θ) (sec (θ) - 2 tan (θ))

tan (x) (1 - sin (2 x)) sec (x)

What is expand (ae^2-10)^2 ?
The solution to expand (ae^2-10)^2 is e^4a^2-20e^2a+100