Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
The problem asks us to solve the equation $(z+9)^2 = 3$ for $z$ using the square root property. We n...
EquationsSquare Root PropertyRadicalsSolving Equations
2025/4/21
The problem asks us to find the greatest common factor (GCF) of the two expressions: $15(x+1)^3(x-1)...
Greatest Common FactorPolynomialsFactoring
2025/4/21
The problem consists of two parts. The first part asks to identify the equation that demonstrates th...
Properties of OperationsAssociative PropertyCommutative PropertyReal NumbersMultiplicationAddition
2025/4/21
We are asked to simplify the expression $\frac{a+5}{a-1} \div (a^2+4a-5)$.
Algebraic simplificationRational expressionsFactorizationPolynomials
2025/4/21
We need to determine whether each of the given statements is true or false. i) The number $\pi^0$ is...
Algebraic ExpressionsEquationsInequalitiesRational ExpressionsExponentsRadicalsSystems of EquationsQuadratic EquationsReal NumbersComplex Numbers
2025/4/21
The problem asks us to simplify the expression $(\sqrt{4x+5} - 5)^2$. We need to multiply out the ex...
SimplificationRadicalsAlgebraic Manipulation
2025/4/21
We are asked to multiply and simplify the expression $(\sqrt{7}-2\sqrt{3})^2$.
SimplificationExponentsRadicalsAlgebraic Manipulation
2025/4/21
The problem asks to multiply and simplify the expression $(\sqrt{5} + 8\sqrt{7x})(2\sqrt{5} + 6\sqrt...
SimplificationRadicalsAlgebraic ExpressionsFOIL Method
2025/4/21
The problem asks us to multiply and simplify the expression $(4\sqrt{3} + \sqrt{2})(\sqrt{3} - 5\sqr...
RadicalsSimplificationDistributive Property
2025/4/21
We are asked to multiply and simplify the expression $(6 - \sqrt{5})(3 + \sqrt{5})$.
SimplificationRadicalsDistributive PropertyFOIL Method
2025/4/21