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

The solution to expand (2x+sqrt(x)+3)^2 is 4x^2+4xsqrt(x)+13x+6sqrt(x)+9

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

expand

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

4 x^{2} + 4 x x + 13 x + 6 x + 9

Solution steps

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

Apply exponent rule:

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

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

= (2 x + x + 3) (2 x + x + 3)

Distribute parentheses

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

Simplify

2 x \cdot 2 x + 2 x x + 2 x \cdot 3 + x \cdot 2 x + x x + x \cdot 3 + 3 \cdot 2 x + 3 x + 3 \cdot 3 : 4 x^{2} + 4 x x + 13 x + 6 x + 9

= 4 x^{2} + 4 x x + 13 x + 6 x + 9

(\frac{x}{10} (100 - 5 y)) \cdot y

\frac{x + 4}{( x + 1 ) ^{2}}

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

(x - \frac{π}{2}) tan (x)

What is expand (2x+sqrt(x)+3)^2 ?
The solution to expand (2x+sqrt(x)+3)^2 is 4x^2+4xsqrt(x)+13x+6sqrt(x)+9