The concept of Combining in mathematics relates to the technique of bringing together certain numbers or variables. This can encompass operations such as addition, multiplication, among others. It frequently features in algebra where it aids in the simplification of expressions or resolution of equations. A prevalent application of this is the combination of like terms, which implies the process of adding or subtracting equivalent variables.
| Topic | Problem | Solution |
|---|---|---|
| None | Combine the algebraic expressions: \(3x^2 + 2x - … | First group the like terms together: \(3x^2 - 2x^2\), \(2x + 5x\), and \(-7 + 4\) |
| None | Find the production matrix for the following inpu… | We are given the input-output matrix A and the demand matrix D as follows: |
| None | Multiply. \[ \frac{5 y}{4 b^{2}} \cdot \frac{8 b^… | Given the two fractions \(\frac{5 y}{4 b^{2}}\) and \(\frac{8 b^{3} y}{y^{5}}\) |
| None | Use the distributive property to rewrite the expr… | The distributive property states that for all real numbers a, b, and c: a(b + c) = ab + ac. In this… |
| None | Subtract $8 y^{2}-5 y+7$ from $2 y^{2}+7 y+11$ Yo… | Subtract the corresponding terms in the two polynomials. |
| None | Use the distributive property to write the follow… | Use the distributive property to write the following expression without parentheses: \(3(x+y)\) |
| None | Use the distributive property to write the follow… | The given expression is \(-\frac{2}{3}(6 x-3 y)\). |