1/6(30x-24y)-1/8(32x-16y)

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Jun 16, 2024

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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.