What is expand (4/5 x-3/5 y)^2 ?

The solution to expand (4/5 x-3/5 y)^2 is (16x^2-24xy+9y^2)/(25)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4/5 x-3/5 y)^2

expand

(\frac{4}{5} x - \frac{3}{5} y)^{2}

\frac{16 x ^{2} - 24 x y + 9 y ^{2}}{25}

Solution steps

(\frac{4}{5} x - \frac{3}{5} y)^{2}

Apply Perfect Square Formula:

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

(\frac{4}{5} x - \frac{3}{5} y)^{2} = (\frac{4}{5} x)^{2} - 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2}

= (\frac{4}{5} x)^{2} - 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2}

Simplify

(\frac{4}{5} x)^{2} - 2 \cdot \frac{4}{5} x \frac{3}{5} y + (\frac{3}{5} y)^{2} : \frac{16 x ^{2} - 24 x y + 9 y ^{2}}{25}

= \frac{16 x ^{2} - 24 x y + 9 y ^{2}}{25}

2 f^{2} (2 e + f)

7 \cdot (2 - x - y)^{2}

\frac{8 - x}{4}

(x^{2} + y^{2} - 4 z^{2} - 8 = 0) (x^{2} + y^{2} - 6 z^{2})

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

What is expand (4/5 x-3/5 y)^2 ?
The solution to expand (4/5 x-3/5 y)^2 is (16x^2-24xy+9y^2)/(25)