((y-h)^(2))/((2-s)^(2))-((1)^(2))/(((2-s)^(2))/(2h-s))=1

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Simplify Denominators: Simplify the denominators. We have the expression ((y-n)^(2))/((2.5)^(2))-((1)^(2))/(((2.5)^(2))/(2n-5)). Let's simplify the denominators first. The denominator (2.5)^2 is equal to 6.25. The denominator ((2.5)^(2))/(2n-5) simplifies to 6.25/(2n-5).Simplify Second Term: Simplify the second term. Now, let's simplify the second term of the expression. ((1)^(2))/(((2.5)^(2))/(2n-5)) is equivalent to 1/(6.25/(2n-5)). To simplify this, we multiply by the reciprocal of the denominator: 1 * ((2n-5)/6.25). This simplifies to (2n-5)/6.25.Rewrite Expression: Rewrite the expression with simplified terms. Now we rewrite the expression with the simplified denominators: ((y-n)^(2))/6.25 - (2n-5)/6.25.Combine Terms: Combine the terms over a common denominator. Since both terms have the same denominator, we can combine them: (((y-n)^(2)) - (2n-5))/6.25.Expand Numerator: Expand the numerator. We need to expand (y-n)^2 which is y^2 - 2yn + n^2. So the expression becomes (y^2 - 2yn + n^2 - 2n + 5)/6.25.Combine Like Terms: Combine like terms in the numerator. There are no like terms to combine in y^2 - 2yn + n^2 - 2n + 5, so the expression remains the same.Check Expression Equals 1: Check if the expression equals 1. To check if the expression equals 1, we would set it equal to 1 and solve for y in terms of n: (y^2 - 2yn + n^2 - 2n + 5)/6.25 = 1. Multiplying both sides by 6.25 gives us: y^2 - 2yn + n^2 - 2n + 5 = 6.25.Subtract to Solve for y: Subtract 6.25 from both sides to solve for y in terms of n. y^2 - 2yn + n^2 - 2n + 5 - 6.25 = 0. This simplifies to: y^2 - 2yn + n^2 - 2n - 1.25 = 0.Realize Math Error: Realize a math error was made in the previous step. Upon reviewing the previous step, I realize that I made a math error. The correct subtraction should be: y^2 - 2yn + n^2 - 2n + 5 - 6.25 = 0. This simplifies to: y^2 - 2yn + n^2 - 2n - 1.25 = 0. However, this is incorrect because the subtraction of 6.25 should be from the constant term, not from the entire expression. The correct subtraction should be: y^2 - 2yn + n^2 - 2n + 5 = 6.25. y^2 - 2yn + n^2 - 2n + 5 - 6.25 = 0. y^2 - 2yn + n^2 - 2n - 1.25 = 0.

$\frac{(y-h)^{2}}{(2-s)^{2}}-\frac{(1)^{2}}{\frac{(2-s)^{2}}{2h-s}}=1$

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(y−h)2(2−s)2−(1)2(2−s)22h−s=1 \frac{(y-h)^{2}}{(2-s)^{2}}-\frac{(1)^{2}}{\frac{(2-s)^{2}}{2h-s}}=1 (2−s)2(y−h)2​−2h−s(2−s)2​(1)2​=1

$\frac{(y-h)^{2}}{(2-s)^{2}}-\frac{(1)^{2}}{\frac{(2-s)^{2}}{2h-s}}=1$