Problem 26 - College Algebra

Question

Find each product. $$(2 x-3)(5 x+3)$$

Step-by-Step Solution

Answer

\(10x^2 - 9x - 9\)

Step 1: Distribute the First Terms

Multiply the first terms in each binomial, \(2x * 5x\), which equals \(10x^2\).

Step 2: Distribute the Outer Terms

Next, multiply the outer terms, \(2x * 3\), which equals \(6x\).

Step 3: Distribute the Inner Terms

Then, multiply the inner terms, \(-3 * 5x\), which equals \(-15x\).

Step 4: Distribute the Last Terms

After that, multiply the last terms, \(-3 * 3\), which equals \(-9\).

Step 5: Combine Like Terms

Finally, combine the middle terms, \(6x\) and \(-15x\), which can be combined to \(-9x\).