Question

find the product. simplify your answer. -2(x² - 3)

Explanation:

Step1: Apply the distributive property

The distributive property states that \(a(b - c)=ab - ac\). Here, \(a = - 2\), \(b=x^{2}\) and \(c = 3\). So we have \(-2\times x^{2}-(-2)\times3\).

Step2: Simplify each term

Simplify \(-2\times x^{2}\) to \(-2x^{2}\) and \(-(-2)\times3\) to \(+ 6\) (because multiplying two negative numbers gives a positive number).

Answer:

\(-2x^{2}+6\)