Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
Factor the expression $-x^3 - 125$.
Polynomial FactorizationSum of CubesAlgebraic Manipulation
2025/6/6
The problem defines a sequence $a_n$ as $a_n = (\frac{1}{4})^n + \frac{3n}{2}$. We need to find an e...
SequencesSeriesExplicit Formula
2025/6/6
The problem is to factor the expression $x^3 - 27$.
FactorizationDifference of CubesPolynomials
2025/6/6
Factor the expression $3x^6 + 81y^6$.
FactorizationPolynomialsSum of CubesAlgebraic Manipulation
2025/6/6
The problem is to simplify the expression: $\sqrt[3]{48a^{12}b^6} \cdot \frac{ab}{\sqrt{a^2b^4}}$
SimplificationRadicalsExponentsAlgebraic Expressions
2025/6/6
We are given a quadratic equation $2x^2 + 4x - 6 = 0$ and we need to find the values of $x$ that sat...
Quadratic EquationsFactoringQuadratic FormulaRoots of Equations
2025/6/6
The problem is to factor the quadratic expression $-4x^2 + 23x + 6$.
Quadratic EquationsFactorizationAlgebraic Manipulation
2025/6/6
The problem is to simplify the expression $9x^2(2x+7)-12x(2x+7)$.
PolynomialsFactoringSimplificationExpansion
2025/6/6
Factor the given expression: $xy + 3y + 2x + 6$.
FactoringFactoring by groupingAlgebraic expressions
2025/6/6
We are asked to simplify the given expression: $\frac{x}{x^2-4x}$.
SimplificationRational ExpressionsFactorization
2025/6/6