What is expand (11e-10f)(11e+10f) ?

The solution to expand (11e-10f)(11e+10f) is -100f^2+121e^2

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expand (11e-10f)(11e+10f)

expand

(11 e - 10 f) (11 e + 10 f)

- 100 f^{2} + 121 e^{2}

Solution steps

(11 e - 10 f) (11 e + 10 f)

Apply Difference of Two Squares Formula:

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

a = 11 e, b = 10 f

= (11 e)^{2} - (10 f)^{2}

Simplify

(11 e)^{2} - (10 f)^{2} : - 100 f^{2} + 121 e^{2}

= - 100 f^{2} + 121 e^{2}

2 e (4 e + 3) - 3 e (e - 5)

2 + 38 - \frac{1}{2}

\frac{d}{d x} ((1 - \frac{1}{x ^{2}}) \times (2 + x))

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

x (1 + x)

What is expand (11e-10f)(11e+10f) ?
The solution to expand (11e-10f)(11e+10f) is -100f^2+121e^2