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Use the distributive property to write an equivalent expression. 3(9q+4r-1) Answer:

Use the distributive property to write an equivalent expression.\newline3(9q+4r−1) 3(9 q+4 r-1) \newlineAnswer:

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Full solution

Q. Use the distributive property to write an equivalent expression.\newline3(9q+4r−1) 3(9 q+4 r-1) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property to each term inside the parentheses.\newlineThe distributive property states that a(b+c)=ab+aca(b + c) = ab + ac. In this case, we will apply this property to 3(9q+4r−1)3(9q + 4r - 1) by multiplying 33 with each term inside the parentheses.
  2. Multiply 33 by 99q: Multiply 33 by the first term inside the parentheses, 9q9q.\newline3×9q=27q3 \times 9q = 27q
  3. Multiply 33 by 4r4r: Multiply 33 by the second term inside the parentheses, 4r4r.\newline3×4r=12r3 \times 4r = 12r
  4. Multiply 33 by −1-1: Multiply 33 by the third term inside the parentheses, −1-1.\newline3×−1=−33 \times -1 = -3
  5. Combine Results: Combine the results from steps 22, 33, and 44 to write the equivalent expression.\newlineThe equivalent expression is 27q+12r−327q + 12r - 3.

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