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Multiply. (5+2a)(3+7a) Simplify your answer.

Multiply.\newline(5+2a)(3+7a) (5+2 a)(3+7 a) \newlineSimplify your answer.

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Multiply and divide rational expressionsright chevron icon

Full solution

Q. Multiply.\newline(5+2a)(3+7a) (5+2 a)(3+7 a) \newlineSimplify your answer.
  1. Distribute First Term: question_prompt: What is the product of (5+2a)(3+7a)(5+2a)(3+7a) when simplified?
  2. Distribute Second Term: Distribute the first term in the first binomial across the second binomial: 5∗(3+7a)=15+35a5*(3+7a) = 15 + 35a.
  3. Add Results: Distribute the second term in the first binomial across the second binomial: 2a∗(3+7a)=6a+14a22a*(3+7a) = 6a + 14a^2.
  4. Combine Like Terms: Add the results of the distribution together: (15+35a)+(6a+14a2)(15 + 35a) + (6a + 14a^2).
  5. Final Answer: Combine like terms: 15+35a+6a+14a2=15+41a+14a215 + 35a + 6a + 14a^2 = 15 + 41a + 14a^2.
  6. Final Answer: Combine like terms: 15+35a+6a+14a2=15+41a+14a215 + 35a + 6a + 14a^2 = 15 + 41a + 14a^2. Write the final answer in standard form, starting with the highest power of aa: 14a2+41a+1514a^2 + 41a + 15.

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