Question

Simplify the expression: 3(2x²−5x+1)−2(3x²+4x−2)

a) −12x²−23x+7
b) −12x²−23x−7
c) −12x²−23x+3
d) −12x²−23x−33

Answer 1

To simplify the expression, distribute coefficients, combine like terms, and rearrange the terms.

Step-by-step explanation:

To simplify the expression, distribute the coefficients to each term inside the parentheses:

3(2x²−5x+1)−2(3x²+4x−2) = 6x² - 15x + 3 - 6x² - 8x + 4

Combine like terms:

6x² - 15x + 3 - 6x² - 8x + 4 = -23x + 7

So, the simplified expression is -23x + 7.