Simplifying Algebraic Expressions: 1/6(30x-24y)-1/8(32x-16y)
In this article, we will explore how to simplify the algebraic expression 1/6(30x-24y)-1/8(32x-16y). Simplifying algebraic expressions is an essential skill in mathematics, and it involves combining like terms and eliminating any parentheses or fractions.
Step 1: Expand the Brackets
The first step in simplifying the expression is to expand the brackets.
1/6(30x-24y) = 5x - 4y 1/8(32x-16y) = 4x - 2y
Step 2: Combine Like Terms
Now, we can rewrite the expression by combining the like terms.
(5x - 4y) - (4x - 2y)
Step 3: Simplify the Expression
To simplify the expression, we combine the like terms.
5x - 4x = x -4y + 2y = -2y
So, the simplified expression is:
x - 2y
Therefore, the simplified form of the expression 1/6(30x-24y)-1/8(32x-16y) is x - 2y.