What is expand (7e-4f)^2 ?

The solution to expand (7e-4f)^2 is 16f^2-56ef+49e^2

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expand (7e-4f)^2

expand

(7 e - 4 f)^{2}

16 f^{2} - 56 e f + 49 e^{2}

Solution steps

(7 e - 4 f)^{2}

Apply Perfect Square Formula:

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

a = 7 e, b = 4 f

= (7 e)^{2} - 2 \cdot 7 e 4 f + (4 f)^{2}

Simplify

(7 e)^{2} - 2 \cdot 7 e 4 f + (4 f)^{2} : 49 e^{2} - 56 e f + 16 f^{2}

= 49 e^{2} - 56 e f + 16 f^{2}

Rewrite in standard form

= 16 f^{2} - 56 e f + 49 e^{2}

\frac{30}{\frac{1}{3}}

- 2 (2 x - 6 + 1 = 17 - 4 x)

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

- \frac{4}{25} (5 e^{5 x} x - e^{5 x})