What is expand (2x+1)sqrt(2x+1) ?

The solution to expand (2x+1)sqrt(2x+1) is 2xsqrt(2x+1)+sqrt(2x+1)

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expand (2x+1)sqrt(2x+1)

expand

(2 x + 1) 2 x + 1

2 x 2 x + 1 + 2 x + 1

Solution steps

(2 x + 1) 2 x + 1

= 2 x + 1 (2 x + 1)

Apply the distributive law:

a (b + c) = ab + a c

2 x + 1 (2 x + 1) = 2 x + 1 \cdot 2 x + 2 x + 1 \cdot 1

= 2 x + 1 \cdot 2 x + 2 x + 1 \cdot 1

Simplify

2 x + 1 \cdot 2 x + 2 x + 1 \cdot 1 : 2 x 2 x + 1 + 2 x + 1

= 2 x 2 x + 1 + 2 x + 1

\frac{2}{3} (a + 3 (b - \frac{4}{3}))

\frac{4}{( x - 2 ) ^{2}}

\frac{x + 3}{( x - 1 ) ( x + 2 )}

(5 x^{2} - 2) \cdot (3 x - 4)

12 \cdot (\frac{3}{x - 12} + 5 (100 - x))

What is expand (2x+1)sqrt(2x+1) ?
The solution to expand (2x+1)sqrt(2x+1) is 2xsqrt(2x+1)+sqrt(2x+1)