Question

perform the operation.
(7.3a² + 2.5a - 6.8) - (3.7a² - 3.9a + 12.8)

Explanation:

Step1: Distribute the negative sign

We have \((7.3a^2 + 2.5a - 6.8) - (3.7a^2 - 3.9a + 12.8)\). Distribute the negative sign to the second polynomial: \(7.3a^2 + 2.5a - 6.8 - 3.7a^2 + 3.9a - 12.8\)

Step2: Combine like terms for \(a^2\) terms

Combine \(7.3a^2\) and \(-3.7a^2\): \(7.3a^2 - 3.7a^2 = 3.6a^2\)

Step3: Combine like terms for \(a\) terms

Combine \(2.5a\) and \(3.9a\): \(2.5a + 3.9a = 6.4a\)

Step4: Combine constant terms

Combine \(-6.8\) and \(-12.8\): \(-6.8 - 12.8 = -19.6\)

Step5: Write the final polynomial

Putting it all together, we get \(3.6a^2 + 6.4a - 19.6\)

Answer:

\(3.6a^2 + 6.4a - 19.6\)