What is expand (3e^4-5f)^2 ?

The solution to expand (3e^4-5f)^2 is 25f^2-30e^4f+9e^8

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expand (3e^4-5f)^2

expand

(3 e^{4} - 5 f)^{2}

25 f^{2} - 30 e^{4} f + 9 e^{8}

Solution steps

(3 e^{4} - 5 f)^{2}

Apply Perfect Square Formula:

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

a = 3 e^{4}, b = 5 f

= (3 e^{4})^{2} - 2 \cdot 3 e^{4} \cdot 5 f + (5 f)^{2}

Simplify

(3 e^{4})^{2} - 2 \cdot 3 e^{4} \cdot 5 f + (5 f)^{2} : 9 e^{8} - 30 e^{4} f + 25 f^{2}

= 9 e^{8} - 30 e^{4} f + 25 f^{2}

Rewrite in standard form

= 25 f^{2} - 30 e^{4} f + 9 e^{8}

\frac{( 1 - x ) ^{9}}{( 1 + x ) ^{7}}

e^{x} (- x^{2} + 2 x - 1)

(x + 2)^{5}

(t^{2} - 2 t) e^{1 - t^{3}}

(t - a) v (t^{'} - a)

What is expand (3e^4-5f)^2 ?
The solution to expand (3e^4-5f)^2 is 25f^2-30e^4f+9e^8