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Use the distributive property to write an equivalent expression. 7(2x+4y-5) Answer:

Use the distributive property to write an equivalent expression.\newline7(2x+4y−5) 7(2 x+4 y-5) \newlineAnswer:

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Full solution

Q. Use the distributive property to write an equivalent expression.\newline7(2x+4y−5) 7(2 x+4 y-5) \newlineAnswer:
  1. Apply Distributive Property: Apply the distributive property to multiply 77 by each term inside the parentheses.\newlineCalculation: 7×2x+7×4y+7×(−5)7 \times 2x + 7 \times 4y + 7 \times (-5)
  2. Multiply 77 by 2x2x: Multiply 77 by 2x2x.\newlineCalculation: 7×2x=14x7 \times 2x = 14x
  3. Multiply 77 by 4y4y: Multiply 77 by 4y4y.\newlineCalculation: 7×4y=28y7 \times 4y = 28y
  4. Multiply 77 by −5-5: Multiply 77 by −5-5.\newlineCalculation: 7×(−5)=−357 \times (-5) = -35
  5. Combine Results: Combine the results to get the final expression.\newlineCalculation: 14x+28y−3514x + 28y - 35

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