Question

find the product.
$-x(x^2 - 3)$

Explanation:

Step1: Apply distributive property

Use the distributive property \(a(b - c)=ab - ac\), here \(a=-x\), \(b = x^{2}\), \(c = 3\). So we have \(-x\times x^{2}-(-x)\times3\).

Step2: Simplify each term

For the first term, using the rule \(x^{m}\times x^{n}=x^{m + n}\), \(-x\times x^{2}=-x^{1+2}=-x^{3}\). For the second term, \(-(-x)\times3 = 3x\).

Answer:

\(-x^{3}+3x\)