What is expand (5x+8((dy)/(dx)))^2 ?

The solution to expand (5x+8((dy)/(dx)))^2 is 25x^2+80x(dy)/(dx)+64(dy)/(dx)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (5x+8((dy)/(dx)))^2

expand

(5 x + 8 (\frac{d y}{d x}))^{2}

25 x^{2} + 80 x \frac{d y}{d x} + 64 \frac{d y}{d x}^{2}

Solution steps

(5 x + 8 (\frac{d y}{d x}))^{2}

Remove parentheses:

(a) = a

= (5 x + 8 \frac{d y}{d x})^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

a = 5 x, b = 8 \frac{d y}{d x}

= (5 x)^{2} + 2 \cdot 5 x \cdot 8 \frac{d y}{d x} + (8 \frac{d y}{d x})^{2}

Simplify

(5 x)^{2} + 2 \cdot 5 x \cdot 8 \frac{d y}{d x} + (8 \frac{d y}{d x})^{2} : 25 x^{2} + 80 x \frac{d y}{d x} + 64 \frac{d y}{d x}^{2}

= 25 x^{2} + 80 x \frac{d y}{d x} + 64 \frac{d y}{d x}^{2}

(x^{2} - x y + y^{2})^{5}

\frac{( X - 6 )}{3 ( 4 - X )}

- 3 (e - e^{3})

\frac{y}{( s + x ) ( s + y )}

4 π (x + 1)^{3}

What is expand (5x+8((dy)/(dx)))^2 ?
The solution to expand (5x+8((dy)/(dx)))^2 is 25x^2+80x(dy)/(dx)+64(dy)/(dx)^2