What is ((x+6)^2)/(25)+((y-5)^2)/(36) ?

The solution to ((x+6)^2)/(25)+((y-5)^2)/(36) is (36x^2+432x+25y^2-250y+1921)/(900)

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simplify ((x+6)^2)/(25)+((y-5)^2)/(36)

simplify

\frac{( x + 6 ) ^{2}}{25} + \frac{( y - 5 ) ^{2}}{36}

\frac{36 x ^{2} + 432 x + 25 y ^{2} - 250 y + 1921}{900}

Solution steps

\frac{( x + 6 ) ^{2}}{25} + \frac{( y - 5 ) ^{2}}{36}

Least Common Multiplier of

25, 36 : 900

Adjust Fractions based on the LCM

= \frac{( x + 6 ) ^{2} \cdot 36}{900} + \frac{( y - 5 ) ^{2} \cdot 25}{900}

Apply the fraction rule:

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

= \frac{( x + 6 ) ^{2} \cdot 36 + ( y - 5 ) ^{2} \cdot 25}{900}

Simplify

(x + 6)^{2} \cdot 36 + (y - 5)^{2} \cdot 25 : 36 x^{2} + 432 x + 25 y^{2} - 250 y + 1921

= \frac{36 x ^{2} + 432 x + 25 y ^{2} - 250 y + 1921}{900}

\frac{2 9 ^{3} \cdot e ^{- 29}}{3 !}

(- 9 x y^{3} - 9 x^{4} y^{3}) + (3 x y^{3} + 7 y^{4} - 8 x^{4} y^{4}) + (3 x^{4} y^{3} + 2 x y^{3})

\frac{x - 3}{4} < 2

2 x^{2} + 3 x = 0

\frac{m ^{2} - 25}{m - 5}

What is ((x+6)^2)/(25)+((y-5)^2)/(36) ?
The solution to ((x+6)^2)/(25)+((y-5)^2)/(36) is (36x^2+432x+25y^2-250y+1921)/(900)