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

The solution to expand (4e+5f)^2 is 25f^2+40ef+16e^2

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expand (4e+5f)^2

expand

(4 e + 5 f)^{2}

25 f^{2} + 40 e f + 16 e^{2}

Solution steps

(4 e + 5 f)^{2}

Apply Perfect Square Formula:

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

a = 4 e, b = 5 f

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

Simplify

(4 e)^{2} + 2 \cdot 4 e 5 f + (5 f)^{2} : 16 e^{2} + 40 e f + 25 f^{2}

= 16 e^{2} + 40 e f + 25 f^{2}

Rewrite in standard form

= 25 f^{2} + 40 e f + 16 e^{2}

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

(1, - 2) y (2, - 2)

\frac{x ^{3}}{( x ^{2} + 1 ) ^{2}}

2 (2 e^{- 2 x} + \frac{1}{3} e^{x})

\frac{2 x}{( x - 1 ) ( x + 1 )}