Question

question 20
1 pts
perform the indicated operation.
2x²(-3x³ - 5x² + 9x - 7)
-6x⁴ - 10x⁴ + 18x² - 14x²
-6x⁵ - 10x⁴ + 18x³ - 14x²
-6x⁵ - 5x² + 9x - 7
-12x²

Explanation:

Step1: Distribute \(2x^2\) to each term

Multiply \(2x^2\) with \(-3x^3\): \(2x^2 \cdot (-3x^3) = -6x^{2 + 3} = -6x^5\)
Multiply \(2x^2\) with \(-5x^2\): \(2x^2 \cdot (-5x^2) = -10x^{2 + 2} = -10x^4\)
Multiply \(2x^2\) with \(9x\): \(2x^2 \cdot 9x = 18x^{2 + 1} = 18x^3\)
Multiply \(2x^2\) with \(-7\): \(2x^2 \cdot (-7) = -14x^2\)

Step2: Combine the results

Combine the terms: \(-6x^5 - 10x^4 + 18x^3 - 14x^2\)

Answer:

B. \(-6x^5 - 10x^4 + 18x^3 - 14x^2\)