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

The solution to ((x+5)^2)/5+((y+9)^2)/9 is (9x^2+90x+5y^2+90y+630)/(45)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((x+5)^2)/5+((y+9)^2)/9

simplify

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

\frac{9 x ^{2} + 90 x + 5 y ^{2} + 90 y + 630}{45}

Solution steps

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

Least Common Multiplier of

5, 9 : 45

Adjust Fractions based on the LCM

= \frac{( x + 5 ) ^{2} \cdot 9}{45} + \frac{( y + 9 ) ^{2} \cdot 5}{45}

Apply the fraction rule:

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

= \frac{( x + 5 ) ^{2} \cdot 9 + ( y + 9 ) ^{2} \cdot 5}{45}

Simplify

(x + 5)^{2} \cdot 9 + (y + 9)^{2} \cdot 5 : 9 x^{2} + 90 x + 5 y^{2} + 90 y + 630

= \frac{9 x ^{2} + 90 x + 5 y ^{2} + 90 y + 630}{45}

\frac{x ^{2} + 8 x + 12}{x ^{2} + 3 x - 18}

\frac{x ^{- 2}}{x}

(4 x - 5) (4 x + 5)

What is ((x+5)^2)/5+((y+9)^2)/9 ?
The solution to ((x+5)^2)/5+((y+9)^2)/9 is (9x^2+90x+5y^2+90y+630)/(45)