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

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

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

expand

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

1 + x

Solution steps

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

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

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

Add similar elements:

\frac{1}{2} + \frac{1}{2} = 2 \cdot \frac{1}{2}

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

Multiply

2 \cdot \frac{1}{2} : 1

= (1 + x)^{1}

Apply rule

a^{1} = a

= 1 + x

(3 x + 1)^{\circ} (3 x - 1) x

v (\frac{( 1 + v ^{2} ) ^{5}}{5} - v^{9})

\frac{x y \cdot ( 32 - x y )}{( x + y )}

3 (t - \frac{π}{4})

(x^{2}) (x^{3} - 5 e^{- 2 x} - 2 x^{\frac{1}{2}})

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