find each product
(3x-6)(3x-4)
Expanding the expression using FOIL method,
(3x-6)(3x-4) = 9x^2 - 12x - 18x + 24
Simplifying,
(3x-6)(3x-4) = 9x^2 - 30x + 24
To find the product of (3x-6)(3x-4), you can use the distributive property.
Step 1: Multiply the first terms of each binomial:
(3x) * (3x) = 9x^2
Step 2: Multiply the outer terms of each binomial:
(3x) * (-4) = -12x
Step 3: Multiply the inner terms of each binomial:
(-6) * (3x) = -18x
Step 4: Multiply the last terms of each binomial:
(-6) * (-4) = 24
Step 5: Add all the results from steps 1, 2, 3, and 4:
9x^2 - 12x - 18x + 24
Step 6: Combine like terms:
9x^2 - 30x + 24
Therefore, the product of (3x-6)(3x-4) is 9x^2 - 30x + 24.