What is expand 9(3/5 x+4/5 y)^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 9(3/5 x+4/5 y)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

= 9 ((\frac{3}{5} x)^{2} + 2 \cdot \frac{3}{5} x \frac{4}{5} y + (\frac{4}{5} y)^{2})

Simplify

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

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

(a - 1 + x) l e f t (a - 1 - x)

\frac{8 s + 7 - 4 e ^{- 5 s}}{2 ( s + 2 ) ( s + 10 )}

(v + h + 3 - v + 3)^{2}

(a t - t)^{9}

(sin (x) - 3 cos (x))^{2}

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