Question

Find the product. $$(x-2)(x+11)$$

Short answer

The product of \( (x-2) \) and \( (x+11) \) is \( x^2 + 9x - 22 \)

Step-by-step solution

Apply Distributive Law - Part 1

Multiply the first term in the first binomial by each term in the second binomial.\n So, this will give us: \( x * (x + 11) = x^2 + 11x \)

Apply Distributive Law - Part 2

Multiply the second term in the first binomial by each term in the second binomial.\n This will give us: \( -2 * (x + 11) = -2x - 22 \)

Combine Like Terms

Add what was calculated in Step 1 and Step 2 together.\n Therefore, we add \( x^2 + 11x \) and \( -2x - 22 \) together to get the final product, which is \( x^2 + 9x - 22 \)