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Multiply. Write your answer in simplest form. \newline5q−4q2×2\frac{5q - 4}{q^2} \times 2

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Full solution

Q. Multiply. Write your answer in simplest form. \newline5q−4q2×2\frac{5q - 4}{q^2} \times 2
  1. Identify terms: Identify the terms to be multiplied. We have the fraction (5q−4)/q2(5q - 4)/q^2 and the integer 22. To multiply these, we simply multiply the numerators and keep the denominator as is.
  2. Multiply integer by numerator: Multiply the integer 22 by the numerator (5q−4)(5q - 4). This gives us 2×(5q−4)=10q−82 \times (5q - 4) = 10q - 8.
  3. Form new fraction: Place the result of the multiplication over the original denominator to form the new fraction. This gives us (10q−8)/q2(10q - 8)/q^2.
  4. Simplify fraction: Simplify the fraction if possible. In this case, there are no common factors between the numerator and the denominator, so the fraction is already in its simplest form.

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