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-13)/(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 - 13}{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 - 13

= \frac{3 y ^{2} - 12 y - x ^{2} + 10 x - 13}{75}

x^{2} + 3 = x

- \frac{4}{7} + y = - \frac{2}{3}

\frac{- 4}{- 5 - 4 i}

4 - u^{2}

\frac{6}{7} - \frac{1}{3}

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-13)/(75)