What is expand (4-(2x)/3-2y)^2 ?

The solution to expand (4-(2x)/3-2y)^2 is 16+(-48y-16x+8xy)/3+(36y^2+4x^2)/9

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expand (4-(2x)/3-2y)^2

expand

(4 - \frac{2 x}{3} - 2 y)^{2}

16 + \frac{- 48 y - 16 x + 8 x y}{3} + \frac{36 y ^{2} + 4 x ^{2}}{9}

Solution steps

(4 - \frac{2 x}{3} - 2 y)^{2}

Apply exponent rule:

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

(4 - \frac{2 x}{3} - 2 y)^{2} = (4 - \frac{2 x}{3} - 2 y) (4 - \frac{2 x}{3} - 2 y)

= (4 - \frac{2 x}{3} - 2 y) (4 - \frac{2 x}{3} - 2 y)

Distribute parentheses

= 4 \cdot 4 + 4 (- \frac{2 x}{3}) + 4 (- 2 y) - \frac{2 x}{3} \cdot 4 - \frac{2 x}{3} (- \frac{2 x}{3}) - \frac{2 x}{3} (- 2 y) - 2 y \cdot 4 - 2 y (- \frac{2 x}{3}) - 2 y (- 2 y)

Simplify

4 \cdot 4 + 4 (- \frac{2 x}{3}) + 4 (- 2 y) - \frac{2 x}{3} \cdot 4 - \frac{2 x}{3} (- \frac{2 x}{3}) - \frac{2 x}{3} (- 2 y) - 2 y \cdot 4 - 2 y (- \frac{2 x}{3}) - 2 y (- 2 y) : 16 + \frac{- 48 y - 16 x + 8 x y}{3} + \frac{36 y ^{2} + 4 x ^{2}}{9}

= 16 + \frac{- 48 y - 16 x + 8 x y}{3} + \frac{36 y ^{2} + 4 x ^{2}}{9}

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

(e^{5 x} - 1) (4 - x^{2})

\frac{1}{2} (lo g_{6} (x) + lo g_{8} (y))

(\frac{2 n ^{3}}{6} + \frac{3 n ^{2}}{6} + \frac{n}{6})^{2}

What is expand (4-(2x)/3-2y)^2 ?
The solution to expand (4-(2x)/3-2y)^2 is 16+(-48y-16x+8xy)/3+(36y^2+4x^2)/9