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

The solution to expand (3x+1)^2sqrt(3x+1) is 9x^2sqrt(3x+1)+6xsqrt(3x+1)+sqrt(3x+1)

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

expand

(3 x + 1)^{2} 3 x + 1

9 x^{2} 3 x + 1 + 6 x 3 x + 1 + 3 x + 1

Solution steps

(3 x + 1)^{2} 3 x + 1

Expand

(3 x + 1)^{2} : 9 x^{2} + 6 x + 1

= (9 x^{2} + 6 x + 1) 3 x + 1

= 3 x + 1 (9 x^{2} + 6 x + 1)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

3 x + 1 (9 x^{2} + 6 x + 1) = 3 x + 1 \cdot 9 x^{2} + 3 x + 1 \cdot 6 x + 3 x + 1 \cdot 1

= 3 x + 1 \cdot 9 x^{2} + 3 x + 1 \cdot 6 x + 3 x + 1 \cdot 1

Simplify

3 x + 1 \cdot 9 x^{2} + 3 x + 1 \cdot 6 x + 3 x + 1 \cdot 1 : 9 x^{2} 3 x + 1 + 6 x 3 x + 1 + 3 x + 1

= 9 x^{2} 3 x + 1 + 6 x 3 x + 1 + 3 x + 1

d (\frac{a}{x} + arctan (\frac{x}{a}))

x^{\frac{4}{5}} (x - 8)^{2}

(x - x + 2)^{2}

x (y^{2} - 1) - y (x^{2} - 1) y^{'} (x)

\frac{d}{d t} ((Q (t)) k (Q (t) - 70))

What is expand (3x+1)^2sqrt(3x+1) ?
The solution to expand (3x+1)^2sqrt(3x+1) is 9x^2sqrt(3x+1)+6xsqrt(3x+1)+sqrt(3x+1)