Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
A florist is making 5 identical bouquets for a wedding. The florist has $610 to spend in total. Eac...
Linear EquationsMatricesCramer's RuleMatrix InverseGaussian Elimination
2025/7/13
The problem asks to expand the expression $(a - b)^2$.
Algebraic ExpansionBinomial TheoremFOIL Method
2025/7/13
The problem is to solve for $x$ in the equation $\frac{3x+5}{5x-2} = \frac{2}{3}$.
Linear EquationsSolving EquationsAlgebraic Manipulation
2025/7/12
The problem has two parts. Part a: Calculate the sum $z = 1 + i + i^2 + i^3 + i^4 + \dots + i^{2017}...
Complex NumbersGeometric SeriesSeriesProofs
2025/7/12
Simplify the expression $\sqrt{-6-2\sqrt{5}}$.
SimplificationRadicalsComplex NumbersSquare Roots
2025/7/12
Simplify the expression $\sqrt{6 - 2\sqrt{5}}$.
RadicalsSimplificationSquare Roots
2025/7/12
The problem requires simplifying the expression $(3ab - 2a^2 - 7) + (6 - 4a^2 - 2ba)$.
Algebraic SimplificationPolynomialsCombining Like Terms
2025/7/12
The problem asks us to simplify the expression $(3x^2 - 2x - 7) - (2x^2 + 6x - 3)$.
PolynomialsSimplificationAlgebraic Expressions
2025/7/12
The problem asks to find the domain of the function $y = \log(\frac{x^2 - 4}{x^3 - 8})$.
LogarithmsDomainInequalitiesRational FunctionsQuadratic EquationsFactoring
2025/7/12
We are given the equation $\frac{2f(x)-5}{x+3}=4$ and asked to find $f(x)$ as $x$ approaches 2.
FunctionsLimitsAlgebraic Manipulation
2025/7/11