(1/2x-3)(x+4/3)

2 min read Jun 16, 2024
(1/2x-3)(x+4/3)

Expanding and Simplifying the Expression: (1/2x-3)(x+4/3)

This article explores the process of expanding and simplifying the given expression: (1/2x-3)(x+4/3).

Expanding the Expression

To expand the expression, we will use the FOIL method:

First: Multiply the first terms of each binomial: (1/2x) * x = 1/2x² Outer: Multiply the outer terms of the binomials: (1/2x) * (4/3) = 2/3x Inner: Multiply the inner terms of the binomials: (-3) * x = -3x Last: Multiply the last terms of each binomial: (-3) * (4/3) = -4

Therefore, the expanded expression becomes: (1/2x² + 2/3x - 3x - 4)

Simplifying the Expression

To simplify the expression, combine like terms:

1/2x² + (2/3x - 3x) - 4

Simplify the coefficients of the x terms:

1/2x² - 7/3x - 4

Final Result

The simplified expression is: 1/2x² - 7/3x - 4

This is the expanded and simplified form of the original expression.

Featured Posts