What is expand (3x+14+sqrt(x^3+9))^2 ?

The solution to expand (3x+14+sqrt(x^3+9))^2 is 9x^2+84x+6xsqrt(x^3+9)+28sqrt(x^3+9)+x^3+205

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (3x+14+sqrt(x^3+9))^2

expand

(3 x + 14 + x^{3} + 9)^{2}

9 x^{2} + 84 x + 6 x x^{3} + 9 + 28 x^{3} + 9 + x^{3} + 205

Solution steps

(3 x + 14 + x^{3} + 9)^{2}

Apply exponent rule:

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

(3 x + 14 + x^{3} + 9)^{2} = (3 x + 14 + x^{3} + 9) (3 x + 14 + x^{3} + 9)

= (3 x + 14 + x^{3} + 9) (3 x + 14 + x^{3} + 9)

Distribute parentheses

= 3 x \cdot 3 x + 3 x \cdot 14 + 3 x x^{3} + 9 + 14 \cdot 3 x + 14 \cdot 14 + 14 x^{3} + 9 + x^{3} + 9 \cdot 3 x + x^{3} + 9 \cdot 14 + x^{3} + 9 x^{3} + 9

Simplify

3 x \cdot 3 x + 3 x \cdot 14 + 3 x x^{3} + 9 + 14 \cdot 3 x + 14 \cdot 14 + 14 x^{3} + 9 + x^{3} + 9 \cdot 3 x + x^{3} + 9 \cdot 14 + x^{3} + 9 x^{3} + 9 : 9 x^{2} + 84 x + 6 x x^{3} + 9 + 28 x^{3} + 9 + x^{3} + 205

= 9 x^{2} + 84 x + 6 x x^{3} + 9 + 28 x^{3} + 9 + x^{3} + 205

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

(y^{\frac{7}{4}} - 1)^{4}

i (x + y i)^{4}

sin (2 t) \cdot x (t - π)

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

What is expand (3x+14+sqrt(x^3+9))^2 ?
The solution to expand (3x+14+sqrt(x^3+9))^2 is 9x^2+84x+6xsqrt(x^3+9)+28sqrt(x^3+9)+x^3+205