Question

question
distribute $-2x(1 + x)$.

answer attempt 1 out of 2

Explanation:

Step1: Apply distributive property

The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = - 2x\), \(b = 1\) and \(c=x\). So we multiply \(-2x\) with each term inside the parentheses: \(-2x\times1+(-2x)\times x\)

Step2: Simplify each term

For the first term, \(-2x\times1=-2x\). For the second term, \((-2x)\times x=-2x^{2}\) (using the rule \(x^{m}\times x^{n}=x^{m + n}\), here \(m = 1\) and \(n=1\), so \(x\times x=x^{2}\))

Answer:

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