Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to expand the expression $(1 - 4m)(m^2 - 3m + 8)$ and write the answer as a poly...
PolynomialsExpansionDistributionCombining Like Terms
2025/3/14
The problem asks to expand the expression $3x(x^2 - 5x + 6)$ and write the answer as a polynomial in...
PolynomialsExpansionSimplificationAlgebraic Manipulation
2025/3/14
The problem asks us to expand the expression $6z^2(7z^2 + 3z - 2)$ and write the answer as a polynom...
Polynomial ExpansionDistributionPolynomials
2025/3/14
The problem asks us to expand the expression $-t(-4t^3 + 8t^2)$. We need to multiply the monomial $-...
PolynomialsExpansionDistributive PropertyExponents
2025/3/14
The problem requires expanding the expression $2x^2(9x^2 - 16)$ and expressing the answer as a polyn...
PolynomialsExpanding ExpressionsAlgebraic Manipulation
2025/3/14
The problem asks whether Neil made a mistake in simplifying the expression $\frac{5^{-6}}{5^{-4}}$. ...
ExponentsSimplificationAlgebraic Manipulation
2025/3/14
We are asked to find the equivalent expression of $\left(\frac{8^{-5}}{2^{-2}}\right)^{-4}$.
ExponentsSimplificationAlgebraic ManipulationLaws of Exponents
2025/3/14
The problem asks to find an equivalent expression for $4^{-3}$.
ExponentsNegative ExponentsSimplificationAlgebraic Manipulation
2025/3/14
Natalie is trying to evaluate the expression $(4^{-3} \cdot 2^{-3})^0$. The steps taken are shown an...
ExponentsOrder of OperationsExponent Rules
2025/3/14
The problem asks us to simplify the expression $(5^4 \cdot 6^{-10})^{-6}$. We must choose the equiva...
ExponentsSimplificationPower of a ProductPower of a PowerFractional Exponents
2025/3/14