Question

question 2 of 2

select the correct answer.

what is the simplified form of this expression?
\\((8x^2 - 3x + \frac{2}{3}) - (2x^2 - 8x + \frac{2}{5})\\)

\\(6x^2 + 11x + \frac{14}{15}\\)
\\(6x^2 + 5x + \frac{14}{15}\\)
\\(6x^2 - 11x + \frac{4}{15}\\)
\\(6x^2 + 5x + \frac{4}{15}\\)

Explanation:

Distribute the negative sign

Using the Polynomial Subtraction knowledge point

$$ (8x^2 - 3x + \frac{1}{3}) - (2x^2 - 8x + \frac{3}{5}) = 8x^2 - 3x + \frac{1}{3} - 2x^2 + 8x - \frac{3}{5} $$

Group and combine like terms

Using the Combining Like Terms knowledge point

$$
LATEXBLOCK0
$$

Simplify the constant terms

Using the Combining Like Terms knowledge point

$$
LATEXBLOCK1
$$

Write the final simplified expression

Using the Combining Like Terms knowledge point

$$ 6x^2 + 5x - \frac{4}{15} $$

Answer:

• (A) \(6x^2 + 11x + \frac{14}{15}\)
• (B) \(6x^2 + 5x + \frac{14}{15}\)
• (C) \(6x^2 - 11x + \frac{4}{15}\)
• (D) \(6x^2 + 5x - \frac{4}{15}\) (Correct answer)