Simplify the expression. (y^(2)-25)/(y^(2)-10 y+25) Enclose numerators and denominators in parentheses. For example, (a-b)//(1+n).

Factor Numerator and Denominator: Simplify the expression by factoring both the numerator and the denominator. Numerator: $y^2 - 25$ can be factored as $(y - 5)(y + 5)$. Denominator: $y^2 - 10y + 25$ can be factored as $(y - 5)(y - 5)$ or $(y - 5)^2$.Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. $\frac{(y - 5)(y + 5)}{(y - 5)(y - 5)}$ simplifies to $\frac{(y + 5)}{(y - 5)}$, assuming $y \neq 5$ to avoid division by zero.

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Simplify the expression.

(y^(2)-25)/(y^(2)-10 y+25)
Enclose numerators and denominators in parentheses. For example,
(a-b)//(1+n).

Simplify the expression. $\newline$ $\frac{y^{2}-25}{y^{2}-10 y+25}$ $\newline$ Enclose numerators and denominators in parentheses. For example, $(a-b) /(1+n)$ .

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Calculus

Find indefinite integrals using the substitution

Full solution

Q. Simplify the expression.

\newline

\frac{y^{2}-25}{y^{2}-10 y+25}

\newline

Enclose numerators and denominators in parentheses. For example,

(a-b) /(1+n)

Factor Numerator and Denominator: Simplify the expression by factoring both the numerator and the denominator. $\newline$ Numerator: $y^2 - 25$ can be factored as $(y - 5)(y + 5)$ . $\newline$ Denominator: $y^2 - 10y + 25$ can be factored as $(y - 5)(y - 5)$ or $(y - 5)^2$ .
Cancel Common Factors: Cancel out the common factors in the numerator and the denominator. $\newline$ $\frac{(y - 5)(y + 5)}{(y - 5)(y - 5)}$ simplifies to $\frac{(y + 5)}{(y - 5)}$ , assuming $y \neq 5$ to avoid division by zero.