(12-8)(3x-5)(7x+29) =
solve: show your work
Hint: solve (12-8)
Wait... Where is the right side of the equation?
To solve the given expression: (12-8)(3x-5)(7x+29), we can use the distributive property and the associative property of multiplication to simplify it.
Step 1: Simplify the expression within each set of parentheses.
(12-8) simplifies to 4.
Step 2: Apply the distributive property to each set of parentheses by multiplying each term inside the first set of parentheses by the terms inside the remaining two sets of parentheses.
(4)(3x-5)(7x+29) = (4 * 3x - 4 * 5)(7x + 29)
= (12x - 20)(7x + 29)
Step 3: Again, apply the distributive property by multiplying each term inside the first set of parentheses by the terms inside the second set of parentheses.
(12x - 20)(7x + 29) = (12x * 7x + 12x * 29) + (-20 * 7x - 20 * 29)
= (84x^2 + 348x) + (-140x - 580)
= 84x^2 + 348x - 140x - 580
Step 4: Combine like terms.
84x^2 + 348x - 140x - 580 = 84x^2 + 208x - 580
So, the simplified expression is 84x^2 + 208x - 580.