Final answer:
To find the product of (3s+2t)(3s-3t), use the distributive property and simplify the expression by combining like terms.
Step-by-step explanation:
To find the product of (3s+2t)(3s-3t), you can use the distributive property. Multiply each term in the first parentheses by each term in the second parentheses.
Using the FOIL method (First, Outer, Inner, Last), we get:
(3s+2t)(3s-3t) = 3s * 3s + 3s * -3t + 2t * 3s + 2t * -3t
Simplifying further:
(3s+2t)(3s-3t) = 9s^2 - 9st + 6st - 6t^2
Combining like terms:
(3s+2t)(3s-3t) = 9s^2 - 3st - 6t^2