# How do you multiply #(k + 3)(k – 3)#?

By signing up, you agree to our Terms of Service and Privacy Policy

To multiply ((k + 3)(k - 3)), you can use the distributive property or the FOIL method. Using the distributive property, you would multiply each term in the first expression by each term in the second expression and then combine like terms. Using the FOIL method, which stands for First, Outer, Inner, Last, you would multiply the first terms, then the outer terms, then the inner terms, and finally the last terms, and then combine like terms. Both methods will give you the same result.

Here's the step-by-step process:

Using the distributive property:

- (k \times k = k^2)
- (k \times (-3) = -3k)
- (3 \times k = 3k)
- (3 \times (-3) = -9)

Combine like terms: ((k^2 - 3k + 3k - 9))

Simplify: (k^2 - 9)

Using the FOIL method:

- First: (k \times k = k^2)
- Outer: (k \times (-3) = -3k)
- Inner: (3 \times k = 3k)
- Last: (3 \times (-3) = -9)

Combine like terms: ((k^2 - 3k + 3k - 9))

Simplify: (k^2 - 9)

By signing up, you agree to our Terms of Service and Privacy Policy

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7