What is expand (3x+2)sqrt(2x+1) ?

The solution to expand (3x+2)sqrt(2x+1) is 3xsqrt(2x+1)+2sqrt(2x+1)

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expand (3x+2)sqrt(2x+1)

expand

(3 x + 2) 2 x + 1

3 x 2 x + 1 + 2 2 x + 1

Solution steps

(3 x + 2) 2 x + 1

= 2 x + 1 (3 x + 2)

Apply the distributive law:

a (b + c) = ab + a c

2 x + 1 (3 x + 2) = 2 x + 1 \cdot 3 x + 2 x + 1 \cdot 2

= 2 x + 1 \cdot 3 x + 2 x + 1 \cdot 2

= 3 x 2 x + 1 + 2 2 x + 1

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

\frac{5}{( 1 + 2 x ) ^{2}}

\frac{s}{( s - 1 ) ( s ^{2} - 2 s + 10 )}

\frac{5}{8 1 + 4 x}

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

What is expand (3x+2)sqrt(2x+1) ?
The solution to expand (3x+2)sqrt(2x+1) is 3xsqrt(2x+1)+2sqrt(2x+1)