Answer:
(x² + 4x + 2)(2x² + 3x - 4) equals 2x⁴ + 11x³ + 12x² - 10x - 8
Step-by-step explanation:
<em>(x² + 4x + 2)(2x² + 3x - 4)</em>
Multiply each term in the first parentheses into the expression in the second parentheses.
<em>2x⁴ + 3x³ - 4x² + 8x³ + 12x² - 16x + 4x² + 6x - 8</em>
Combine like terms.
<em>2x⁴ + 11x³ + 12x² - 10x - 8</em>
So, your answer would be letter choice B.
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Answer:
A
Step-by-step explanation:
<h3>Answer: Commutative Property (choice C)</h3>
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Explanation:
Here are all of the justifications for each step
- Step 1. None needed. This is the original expression
- Step 2. Distributive property
- Step 3. Multiply (the 3 and 5 multiply to 15)
- Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the -15 and 4x terms swap places.
- Step 5. Associative property. The parenthesis group the first two terms away from the third term.
- Step 6. Combine like terms. Both 3x and 4x have an x only so they are like terms that combine to 7x. You can think of it as 3+4 = 7, then you just tack an x onto everything to get 3x+4x = 7x.
29. 1.08+.89+.89=2.86 they need 3 dollars
30.they need $3.34
31.each greeting card cost 35 cents
32. she does have enough money because it the total for 3 gift wraps is $5.55 which is less than $6
