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distribute $-8\left(-6x^{2} + 2\
ight)$.
Step1: Apply distributive property
The distributive property states that \(a(b + c)=ab+ac\). Here, \(a = - 8\), \(b=-6x^{2}\) and \(c = 2\). So we multiply \(-8\) with each term inside the parentheses:
\(-8\times(-6x^{2})+(-8)\times2\)
Step2: Calculate each product
First, calculate \(-8\times(-6x^{2})\). The product of two negative numbers is positive, and \(8\times6 = 48\), so \(-8\times(-6x^{2})=48x^{2}\).
Then, calculate \(-8\times2=-16\).
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\(48x^{2}-16\)