Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem is to factor the expression $x^3 - 8$.
Polynomial FactorizationDifference of CubesAlgebraic Manipulation
2025/4/15
We need to simplify the expression: $\sqrt[3]{125a^9b^6} \cdot \frac{ab}{\sqrt{a^2b^4}}$.
Exponents and RadicalsSimplificationAlgebraic Expressions
2025/4/15
Simplify the expression $\frac{\sqrt{98x^2y^4}}{\sqrt{2x^2}}$. We will assume that $x > 0$ so that $...
SimplificationRadicalsExponentsAlgebraic Expressions
2025/4/15
The problem asks to simplify the expression $\sqrt{75x^2y^5}$.
SimplificationRadicalsExponentsAbsolute Value
2025/4/15
We are asked to solve the quadratic equation $2x^2 - 5x - 3 = 0$.
Quadratic EquationsFactoringQuadratic FormulaRoots of Equations
2025/4/15
The problem is to factor the quadratic expression $5x^2 + 10x - 15$.
Quadratic EquationsFactorizationGreatest Common Factor
2025/4/15
The problem asks us to factor the two given expressions: $5x^2 + 10x - 15$ and $3x^4 - 6x^3 + 9x^2$.
FactorizationQuadratic EquationsPolynomialsGreatest Common Factor
2025/4/15
The problem describes a geometric sequence where the second term is equal to the fourth term. We are...
Sequences and SeriesGeometric SequenceCommon RatioAlgebraic Equations
2025/4/15
The problem is to simplify the expression $(\frac{x^{1/7}}{y^{4/8}})(\frac{x^{4/7}}{y^{3/3}})$. The ...
ExponentsSimplificationAlgebraic Expressions
2025/4/15
The problem asks to rewrite the expression $9a^{-4/9}$ using positive exponents.
ExponentsSimplificationAlgebraic Manipulation
2025/4/15