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Distribute to create an equivalent expression with the fewest symbols possible. (1)/(5)(15+10 k)=◻

Distribute to create an equivalent expression with the fewest symbols possible.\newline15(15+10k)=□ \frac{1}{5}(15+10 k)=\square

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Full solution

Q. Distribute to create an equivalent expression with the fewest symbols possible.\newline15(15+10k)=□ \frac{1}{5}(15+10 k)=\square
  1. Distribute the fraction: Distribute the fraction (15)(\frac{1}{5}) to both terms inside the parentheses (15+10k)(15 + 10k).\newlineCalculation: (15)×15+(15)×10k(\frac{1}{5}) \times 15 + (\frac{1}{5}) \times 10k
  2. Simplify each term: Simplify each term.\newlineCalculation: (15)×15=3(\frac{1}{5}) \times 15 = 3 and (15)×10k=2k(\frac{1}{5}) \times 10k = 2k
  3. Write the simplified expression: Write the simplified expression.\newlineCalculation: 3+2k3 + 2k

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