It should be [tex]\frac{1}{6t+1}[/tex]2t/(12t^2+2t) = t(2)/t(12t +2) = 2/12t + 2 = 1/(6t+2)
The purpose of simplifying equations is to make them easier to understand and solve. By simplifying, complex equations can be broken down into smaller, more manageable parts, making it easier to identify patterns and solve for variables.
There are several methods for determining which simplification is correct. One way is to plug in values for the variables and see if the original equation and the simplified equation give the same result. Another way is to use algebraic rules to manipulate the equation and see if the simplified version follows those rules.
Yes, there are often multiple ways to simplify an equation. However, it is important to make sure that the simplification still follows the rules of algebra and gives the same result as the original equation.
No, it is not always necessary to simplify an equation. Some equations may already be in their simplest form and do not require further simplification. Additionally, in some cases, simplifying an equation may make it more difficult to solve.
There are many resources available to help practice simplifying equations, such as textbooks, online tutorials, and practice problems. It is also helpful to work through problems step by step and to check your work using a calculator or by plugging in values for the variables.