Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
Simplify the following expression: $\frac{\frac{2}{m} - 1}{\frac{m+7}{m-1} - \frac{3}{m}}$
Algebraic ExpressionsSimplificationFractionsRational ExpressionsFactorization
2025/4/25
The problem requires us to simplify the expression $\frac{8}{4y-y^3} + \frac{1}{y+2} - \frac{1}{y}$.
Algebraic simplificationRational expressionsFactoring
2025/4/25
The problem asks us to simplify the expression $\frac{7b}{b^2 - b - 12} - \frac{4b}{b^2 + 2b - 3}$.
Algebraic ExpressionsSimplificationRational ExpressionsFactoringFractions
2025/4/25
The problem defines a function $f(x, y)$ as follows: $f(x, y) = \sqrt{x^2 - y^2}$.
FunctionsSquare RootsVariables
2025/4/25
The problem defines a function $f(x, y)$ as $f(x, y) = \frac{x^2}{xy - y^2}$.
FunctionsAlgebraic ExpressionsFunction Definition
2025/4/25
The problem defines a function $f(x, y) = \frac{x^2 - y^2}{xy}$. There are further expressions relat...
FunctionsAlgebraic ManipulationExpressions
2025/4/25
The problem is to simplify the expression $\frac{a-6}{a^2 - 9} - \frac{a+1}{a^2 + 2a - 3}$.
Algebraic SimplificationRational ExpressionsFactoringPolynomialsFractions
2025/4/25
We need to simplify the expression: $\frac{3x-1}{x^2+4x} + \frac{7-8x}{x^2+5x+4}$.
Algebraic FractionsSimplificationFactoringPolynomialsCommon Denominator
2025/4/25
Simplify the following expression: $\frac{\frac{3}{p^2} - \frac{1}{p^2-4}}{1 - \frac{6}{p^2}}$
Algebraic simplificationRational expressionsFractionsPolynomials
2025/4/24
The function $P(s) = 3s$ gives the perimeter of an equilateral triangle of side length $s$. a. We ne...
PerimeterEquationsSolving EquationsLinear EquationsGeometryEquilateral Triangle
2025/4/24