Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

Simplify the expression $\frac{\frac{a}{a-3}-1}{\frac{a-2}{a-3}}\cdot\frac{a}{a-3}$.

Algebraic SimplificationRational ExpressionsFractions
2025/4/27

We are asked to simplify the expression $(\frac{a-3}{a} - \frac{a-3}{a^2 - 2a})^{a-2} : \frac{a-3}{a...

Algebraic SimplificationExponentsRational Expressions
2025/4/27

The problem asks us to fill in the blanks to form a matrix equation that can be used to calculate th...

Linear AlgebraMatrix EquationsSystems of EquationsWord Problem
2025/4/27

We are given a matrix $C$ representing the sales of small, medium, and large coffees for one week at...

MatricesMatrix OperationsMatrix AdditionMatrix MultiplicationData Analysis
2025/4/27

A coffee shop sells coffee in three sizes: small (S), medium (M), and large (L). The sales for one w...

Matrix OperationsMatrix MultiplicationApplications of MatricesData Analysis
2025/4/27

The problem is to expand the product of two binomials: $(2x - 5y)(3x - 2y)$.

Polynomial ExpansionBinomialsDistributive PropertyFOIL Method
2025/4/27

The problem is to expand the expression $(2x - y)(x + 3y)$.

Polynomial ExpansionFOIL methodDistributive PropertyAlgebraic Manipulation
2025/4/27

The problem asks to expand the product of two binomials: $(2x + y)(4x + 3y)$.

Polynomial ExpansionBinomial MultiplicationAlgebraic Manipulation
2025/4/27

The problem is to expand the expression $(3x-2)(2x+5)$.

Polynomial ExpansionDistributive PropertyFOIL Method
2025/4/27

The problem requires expanding the expression $(5x+1)(x-2)$.

Polynomial ExpansionDistributive PropertyFOIL method
2025/4/27