What is expand (1-δ/R)^2 ?

The solution to expand (1-δ/R)^2 is 1-(2δ)/R+(δ^2)/(R^2)

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expand (1-δ/R)^2

expand

(1 - \frac{δ}{R})^{2}

1 - \frac{2 δ}{R} + \frac{δ ^{2}}{R ^{2}}

Solution steps

(1 - \frac{δ}{R})^{2}

Apply Perfect Square Formula:

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

a = 1, b = \frac{δ}{R}

= 1^{2} - 2 \cdot 1 \cdot \frac{δ}{R} + (\frac{δ}{R})^{2}

Simplify

1^{2} - 2 \cdot 1 \cdot \frac{δ}{R} + (\frac{δ}{R})^{2} : 1 - \frac{2 δ}{R} + \frac{δ ^{2}}{R ^{2}}

= 1 - \frac{2 δ}{R} + \frac{δ ^{2}}{R ^{2}}

\frac{4 x}{( x ^{2} + 1 ) ( x ^{2} + 2 x + 3 )}

(x - 6) x + 6 + 7

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

A (3, 0, - 1) B (0, - 2, 0)

\frac{3.0685}{x ( x + 0.2933 )}

What is expand (1-δ/R)^2 ?
The solution to expand (1-δ/R)^2 is 1-(2δ)/R+(δ^2)/(R^2)