What is expand (sqrt(ax+b)-3-4x)^2 ?

The solution to expand (sqrt(ax+b)-3-4x)^2 is 16x^2+ax+b-6sqrt(ax+b)-8xsqrt(ax+b)+24x+9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (sqrt(ax+b)-3-4x)^2

expand

(a x + b - 3 - 4 x)^{2}

16 x^{2} + a x + b - 6 a x + b - 8 x a x + b + 24 x + 9

Solution steps

(a x + b - 3 - 4 x)^{2}

Apply exponent rule:

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

(a x + b - 3 - 4 x)^{2} = (a x + b - 3 - 4 x) (a x + b - 3 - 4 x)

= (a x + b - 3 - 4 x) (a x + b - 3 - 4 x)

Distribute parentheses

= a x + b a x + b + a x + b (- 3) + a x + b (- 4 x) - 3 a x + b - 3 (- 3) - 3 (- 4 x) - 4 x a x + b - 4 x (- 3) - 4 x (- 4 x)

Simplify

a x + b a x + b + a x + b (- 3) + a x + b (- 4 x) - 3 a x + b - 3 (- 3) - 3 (- 4 x) - 4 x a x + b - 4 x (- 3) - 4 x (- 4 x) : 16 x^{2} + a x + b - 6 a x + b - 8 x a x + b + 24 x + 9

= 16 x^{2} + a x + b - 6 a x + b - 8 x a x + b + 24 x + 9

(e h - f g) (a d - b c)

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

(2 x^{3} - x^{2} + 2 x - 8)^{\circ} (x + 2)

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

x (u d x + x d u)

What is expand (sqrt(ax+b)-3-4x)^2 ?
The solution to expand (sqrt(ax+b)-3-4x)^2 is 16x^2+ax+b-6sqrt(ax+b)-8xsqrt(ax+b)+24x+9