Question

subtract.
$(8j^{2} + 9j + 7) - (6j^{2} + 9j + 2)$

Explanation:

Step1: Distribute the negative sign

To subtract the second polynomial from the first, we first distribute the negative sign to each term in the second polynomial:
$$(8j^2 + 9j + 7) - 6j^2 - 9j - 2$$

Step2: Combine like terms

• For the \(j^2\) terms: \(8j^2 - 6j^2 = 2j^2\)
• For the \(j\) terms: \(9j - 9j = 0\) (these terms cancel out)
• For the constant terms: \(7 - 2 = 5\)

Combining these results, we get \(2j^2 + 0 + 5 = 2j^2 + 5\).

Answer:

\(2j^2 + 5\)