Simplifying and Manipulating Algebraic Expressions: A Guide to Simplifying -18x⁴ Using Arithmetic and Algebra Rules

-18x⁴

3x²(x²)(-6)

-18x⁴ is a polynomial with one term. The coefficient of the term is -18 and the variable is x raised to the 4th power. This polynomial can be simplified or manipulated algebraically using different mathematical operations such as addition, subtraction, multiplication, and division.

For example, if we want to add -18x⁴ with another polynomial such as 5x², we add the like terms which means we add the coefficients of the terms that have the same variable raised to the same power. In this case, we cannot add -18x⁴ and 5x² because they have different variables raised to different powers. Therefore, -18x⁴ + 5x² is the simplest form of this expression.

If we want to multiply -18x⁴ by another polynomial, such as (3x-2), we use the distributive property of multiplication. This means we multiply each term in the second polynomial by each term in the first polynomial and add the resulting terms. In this case, the multiplication would look like this:

-18x⁴(3x-2) = -18x⁴(3x) – 18x⁴(2)
= -54x⁵ + 36x⁴

Therefore, -54x⁵ + 36x⁴ is the simplified form of -18x⁴(3x-2).

In summary, we can manipulate and simplify -18x⁴ algebraically by using the rules of arithmetic and algebra, which include addition, subtraction, multiplication, and division.

More Answers: