Answer:
a² + b²
Step-by-step explanation:
(a + b)² - 2ab ← expand parenthesis using FOIL
= a² + 2ab + b² - 2ab ← collect like terms
= a² + b²
Answer:
B. 24d + 4; $76
Step-by-step explanation:
Part 1: If the online store charges $24 per DVD, this is the same as saying "24 multiplied by the number of DVDs bought".
It's given that "d" represents the number of DVDs
- So the first part of the variable expression is: 24d
If the online store also charges an additional $4 per <em>order,</em> that means that it's only $4 extra for the whole order. NOT per DVD you buy.
Part 2: If someone were to buy 3 DVDs, that would mean that d = 3.
To find the total cost, substitute 3 for d into the expression.
- 24d + 4
- 24(3) + 4
- 72 + 4 = 76
- Result: $76
Answer:
Answer is 40.
Step-by-step explanation:
We can express this number in the standard form, which is simply 15xyz+10xy+5x. Alternatively, we can factor a 5 or an x out, receiving 5(3xyz+2xy+x) or x(15yz+10y+5). However, the most effective factorization is to factor out 5x, for a result of 5x(3yz+2y+1).
