The problem asks us to find the values of the variables $m$ and $y$ in the given expressions that would make the expressions undefined. This usually happens when the denominator of a fraction is equal to zero.

AlgebraUndefined ExpressionsRational ExpressionsSolving Equations
2025/4/15

1. Problem Description

The problem asks us to find the values of the variables mm and yy in the given expressions that would make the expressions undefined. This usually happens when the denominator of a fraction is equal to zero.

2. Solution Steps

a. For the expression 1242m\frac{12}{4-2m}, the expression is undefined when the denominator 42m4-2m is equal to

0. $4 - 2m = 0$

2m=42m = 4
m=42m = \frac{4}{2}
m=2m = 2
Therefore, mm cannot be
2.
b. For the expression y5y+5\frac{y-5}{y+5}, the expression is undefined when the denominator y+5y+5 is equal to

0. $y+5 = 0$

y=5y = -5
Therefore, yy cannot be -
5.

3. Final Answer

a. mm cannot be

2. b. $y$ cannot be -5.

Related problems in "Algebra"

We are asked to find the minimum value of the quadratic function $2x^2 - 8x + 3$.

Quadratic FunctionsOptimizationCompleting the SquareVertex Formula
2025/4/16

We are given the function $f(x) = 6x^3 + px^2 + 2x - 5$, where $p$ is a constant. We also know that ...

PolynomialsFunction EvaluationSolving Equations
2025/4/16

We are asked to simplify the expression $\frac{\log 9 - \log 8}{\log 81 - \log 64}$.

LogarithmsSimplificationLogarithm Properties
2025/4/16

We are asked to evaluate the expression: $log\ 9 - log\ 8$ $log\ 81 - log\ 64$

LogarithmsLogarithmic PropertiesSimplification
2025/4/16

The problem asks us to evaluate the expression $(2^0) \cdot (\frac{2^{3 \cdot 3^3}}{2^3})$.

ExponentsSimplificationOrder of Operations
2025/4/16

The problem asks to evaluate the expression $(\frac{1}{2})^{3^2} \cdot (\frac{1}{2})^3$.

ExponentsSimplificationOrder of OperationsPowers of Two
2025/4/16

We are asked to find the value of $n$ in the equation $(9^n)^4 = 9^{12}$.

ExponentsEquationsSolving Equations
2025/4/16

We are asked to find the least common denominator (LCD) of the following rational expressions: $\fra...

Rational ExpressionsLeast Common DenominatorPolynomial FactorizationAlgebraic Manipulation
2025/4/16

The problem asks to find the value(s) of $x$ for which the expression $\frac{x-4}{5x-40} \div \frac{...

Rational ExpressionsUndefined ExpressionsDomain
2025/4/16

Simplify the expression: $\frac{(2x^3y^1z^{-2})^{-2}x^4y^8z^{-2}}{5x^5y^4z^2}$

ExponentsSimplificationAlgebraic Expressions
2025/4/16