What is expand (1+x)(1-2x)^{-1/2} ?

The solution to expand (1+x)(1-2x)^{-1/2} is (1+x)/((1-2x)^{1/2)}

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expand (1+x)(1-2x)^{-1/2}

expand

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

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

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

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

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

Simplify

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

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

20 \cdot \frac{1}{8} \cdot e^{- 0.0675 \cdot 5}

(40.17 \cdot 40.17)^{- 1} \cdot 40.17 \cdot (- 18.09)

(22) 16 - (22)^{2}

8 e^{- 0.2 (0)}

1.25 \times 1 0^{- 4}

What is expand (1+x)(1-2x)^{-1/2} ?
The solution to expand (1+x)(1-2x)^{-1/2} is (1+x)/((1-2x)^{1/2)}