Algebraic manipulation is the process of rearranging and simplifying algebraic expressions using mathematical rules such as the distributive property, combining like terms, and using inverse operations.
Algebraic manipulation is important because it allows us to solve equations and simplify expressions, making complex problems more manageable and easier to solve.
Some common techniques used in algebraic manipulation include factoring, expanding, completing the square, and using logarithms and exponents.
To improve your skills in algebraic manipulation, it is important to practice and familiarize yourself with the different techniques and rules. You can also seek help from a tutor or use online resources and practice problems.
Algebraic manipulation has many real-life applications, such as in physics and engineering to solve equations and model systems, in finance to calculate interest and compound growth, and in computer science to develop algorithms and solve complex problems.