What is ((y-2)^2)/(25)+((x-5)^2)/(75) ?

The solution to ((y-2)^2)/(25)+((x-5)^2)/(75) is (3y^2-12y+x^2-10x+37)/(75)

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simplify ((y-2)^2)/(25)+((x-5)^2)/(75)

simplify

\frac{( y - 2 ) ^{2}}{25} + \frac{( x - 5 ) ^{2}}{75}

\frac{3 y ^{2} - 12 y + x ^{2} - 10 x + 37}{75}

Solution steps

\frac{( y - 2 ) ^{2}}{25} + \frac{( x - 5 ) ^{2}}{75}

Least Common Multiplier of

25, 75 : 75

Adjust Fractions based on the LCM

= \frac{( y - 2 ) ^{2} \cdot 3}{75} + \frac{( x - 5 ) ^{2}}{75}

Apply the fraction rule:

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

= \frac{( y - 2 ) ^{2} \cdot 3 + ( x - 5 ) ^{2}}{75}

Simplify

(y - 2)^{2} \cdot 3 + (x - 5)^{2} : 3 y^{2} - 12 y + x^{2} - 10 x + 37

= \frac{3 y ^{2} - 12 y + x ^{2} - 10 x + 37}{75}

(1 - 2 i) (1 + 2 i)

\frac{2}{8} \cdot \frac{1}{7}

2 n^{2} + n - 6

(- \frac{3}{5})^{- 2}

30 v - 25 = 9 v^{2}

What is ((y-2)^2)/(25)+((x-5)^2)/(75) ?
The solution to ((y-2)^2)/(25)+((x-5)^2)/(75) is (3y^2-12y+x^2-10x+37)/(75)