Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

The problem asks us to select the three expressions that are equivalent to $6^2$.

ExponentsSimplificationOrder of Operations
2025/3/14

Simplify the expression $(\frac{2^5}{x^2})^4$.

ExponentsSimplificationPower of a Power Rule
2025/3/14

The problem asks to find the equivalent expression of $(3^2 \cdot 5)^3$.

ExponentsPower of a Product RulePower of a Power RuleSimplification
2025/3/14

We are asked to find the equivalent expression for $(x^4 \cdot y^4)^3$.

ExponentsPower of a ProductPower of a PowerSimplification
2025/3/14

The problem asks to expand the product of the binomial $(2 + 3w)$ and the trinomial $(w^2 + 6w + 9)$...

Polynomial ExpansionDistributive PropertyPolynomials
2025/3/14

We are asked to expand the product of two binomials, $(8 - 3a^2)(2a^2 + 6)$, and write the answer as...

PolynomialsBinomial ExpansionFOILStandard Form
2025/3/14

The problem requires us to expand the product of two polynomials: $(-r^2 + 3r - 7)(r^2 - 7)$. We nee...

PolynomialsExpansionDistributive PropertyAlgebraic Manipulation
2025/3/14

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