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

The solution to expand (5e-2f)^2 is 4f^2-20ef+25e^2

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expand (5e-2f)^2

expand

(5 e - 2 f)^{2}

4 f^{2} - 20 e f + 25 e^{2}

Solution steps

(5 e - 2 f)^{2}

Apply Perfect Square Formula:

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

a = 5 e, b = 2 f

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

Simplify

(5 e)^{2} - 2 \cdot 5 e 2 f + (2 f)^{2} : 25 e^{2} - 20 e f + 4 f^{2}

= 25 e^{2} - 20 e f + 4 f^{2}

Rewrite in standard form

= 4 f^{2} - 20 e f + 25 e^{2}

(a^{3})^{2}

(a^{3})^{3}

\frac{x}{( 2 - x ) ^{2}}

(ln (y) - b y)^{2}

\frac{( x + 5 ) ( x + 1 )}{- 2 x + 3}