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Use the distributive property to write an equivalent expression.

3(5v-8w+10)
Answer:

Use the distributive property to write an equivalent expression.\newline3(5v8w+10) 3(5 v-8 w+10) \newlineAnswer:

Full solution

Q. Use the distributive property to write an equivalent expression.\newline3(5v8w+10) 3(5 v-8 w+10) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property to the first term inside the parentheses.\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we will multiply 33 by the first term inside the parentheses, which is 5v5v.\newlineCalculation: 3×5v=15v3 \times 5v = 15v
  2. Calculate First Term: Apply the distributive property to the second term inside the parentheses.\newlineNow, we will multiply 33 by the second term inside the parentheses, which is 8w-8w.\newlineCalculation: 3×(8w)=24w3 \times (-8w) = -24w
  3. Calculate Second Term: Apply the distributive property to the third term inside the parentheses.\newlineFinally, we will multiply 33 by the third term inside the parentheses, which is 1010.\newlineCalculation: 3×10=303 \times 10 = 30
  4. Calculate Third Term: Combine the results from steps 11, 22, and 33 to write the equivalent expression.\newlineWe combine the products from each term to get the final expression.\newlineEquivalent Expression: 15v24w+3015v - 24w + 30

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