Algebra

Problems related to equations, functions, polynomials, etc.

Problems in this category

We are given the equation $4x^2 - 4y^2 - 2x + 2y + 1 = 0$ and we need to determine the type of conic...

Conic SectionsHyperbolaCompleting the SquareStandard Form
2025/3/23

The problem asks us to factor the expression $16b + 5a - 20 - 4ba$.

FactoringAlgebraic ManipulationPolynomials
2025/3/22

The problem asks to factor the expression $ab - 3a + 15 - 5b$.

FactorizationAlgebraic ManipulationGrouping
2025/3/22

The problem asks to factor the cubic polynomial $x^3 + 2x^2 + 6x + 12$ completely.

Polynomial FactorizationCubic PolynomialsFactoring by Grouping
2025/3/22

The problem is to factor out the greatest common factor from the expression $7x(a+8b)-(a+8b)$.

FactoringGreatest Common FactorPolynomials
2025/3/22

The problem asks to factor out the greatest common factor from the expression $9z(c-7z) + 4(-7z+c)$....

FactoringGreatest Common FactorAlgebraic Expressions
2025/3/22

The problem asks us to factor out the greatest common factor from the expression $9x(x+y) - 8(x+y)$.

FactoringGreatest Common FactorPolynomials
2025/3/22

The problem asks to factor out the greatest common factor from the expression $2a^2b^3 - 18a^3b^3 + ...

FactoringGreatest Common FactorPolynomialsAlgebraic Expressions
2025/3/22

The problem asks to factor out the greatest common factor (GCF) from the expression $2a^2b^3 - 18a^3...

FactoringGreatest Common FactorPolynomials
2025/3/22

The problem asks us to factor out the greatest common factor from the expression $10ab^2 + 5ab - 15a...

FactoringGreatest Common FactorPolynomials
2025/3/22