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

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

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

expand

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

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

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

Apply rule:

a \cdot 1 = a

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

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

\frac{1}{s ( s ^{2} + a ^{2} ) ^{2}}

(e^{- x} + e^{x})^{3}

11 (7 + 2)

\frac{3 C - ( - x ^{2} + 9 ) ^{\frac{3}{2}}}{3}

\frac{x ^{3}}{( 6.4 + x ) ^{2}} - 55.04

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