Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem consists of four parts. Part 1: Given the function $y = (2+x)(x-4)$, we need to sketch t...
Quadratic EquationsParabolaFactorizationGraphing
2025/6/19
The problem requires us to solve five exponential equations for $x$. The equations are: i. $5^{x+2} ...
Exponential EquationsExponentsSolving Equations
2025/6/19
The problem asks us to expand and simplify the given expressions involving products of two binomials...
Binomial ExpansionDifference of SquaresSimplification
2025/6/18
The problem asks us to simplify the given algebraic expressions by combining like terms. There are 1...
SimplificationCombining Like TermsAlgebraic Expressions
2025/6/18
The problem asks to simplify the algebraic expressions given in the image. I will solve problem numb...
Algebraic ExpressionsSimplificationCombining Like Terms
2025/6/18
The problem asks us to simplify algebraic expressions by combining like terms. We will solve each su...
Algebraic ExpressionsCombining Like TermsSimplification
2025/6/18
The problem requires simplifying given algebraic expressions by combining like terms. There are 12 ...
Algebraic ExpressionsSimplificationCombining Like Terms
2025/6/18
We are given a system of three linear equations representing a resistive network. The problem asks u...
Linear EquationsCramer's RuleMatrix InversionSystems of EquationsDeterminantsMatrices
2025/6/18
We need to find the coefficient of $x^2y^9$ in the expansion of $(3x+4y)^{11}$.
Binomial TheoremPolynomial ExpansionCombinationsCoefficients
2025/6/18
Simplify the expression $\frac{(3x+4y)^{11}}{x^5 y^6}$.
Binomial TheoremPolynomialsAlgebraic SimplificationExponents
2025/6/18