Simplify the following expression:
¹⁄₂(8x² - 4x + 2) - ²⁄₃(6x² + 3x - 9)

Question

Simplify the following expression: ¹⁄₂(8x² - 4x + 2) - ²⁄₃(6x² + 3x - 9)

Quizplus · Accepted Answer

In problems like these, we must be sure to only add like terms. ¹⁄₂(8x² - 4x + 2) - ²⁄₃(6x² + 3x - 9) First, distribute the ¹⁄₂ . ¹⁄₂(8x² - 4x + 2) - ²⁄₃(6x² + 3x - 9) ¹⁄₂(8x²) - ¹⁄₂ (4x) + ¹⁄₂(2) - ²⁄₃(6x² + 3x - 9) 4x² - 2x + 1 - ²⁄₃(6x² + 3x - 9) Then, distribute the -²⁄₃. 4x² - 2x + 1- ²⁄₃(6x² + 3x - 9) 4x² - 2x + 1- ²⁄₃(6x²) + ²⁄₃(3x) - ²⁄₃(9) 4x² - 2x + 1 - 4x² - 2x + 6 We can combine both terms with x² first. 4x² - 2x + 1 - 4x² - 2x + 6 -2x + 1 - 2x + 6 Next, we can combine both terms with x. -2x + 1 - 2x + 6 -4x + 1 + 6 Finally, we can combine the numbers without variables. -4x + 1 + 6 -4x + 7

Simplify the Following Expression