Verified Answer :

Answer:

\(8(5g+5-2)=8\times 5g+8\times 5-8\times 2=40g-24\)

Step-by-step explanation:

The Distributive Properties establishes that \(a\cdot (c+d)=a\cdot c+a\cdot d\). This property connect the operations of sum a multiplication. If we have more term as \(a\cdot (b+c+d)\) the same property holds. That is to say,

\(a\cdot (b+c+d)=a\cdot b+ a\cdot c +a\cdot d\)

The dot means multiplication. In your case you have a expression of this last form. So applying this distributive property we have:

\(8(5g+5-2)=8\times 5g+8\times 5-8\times 2=40g+40-16=40g-24\)

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