What is a simpler form of the expression? (2n^2 + 5n +3)(4n - 5)

Mathematics

2 answers:

coldgirl [10]3 years ago

5 0

Answer:

8n³ + 10n² - 13n - 15

Step-by-step explanation:

Distribute the factors by multiplying each term in the first factor by each term in the second factor, that is

4n(2n² + 5n + 3) - 5(2n² + 5n + 3) ← distribute both parenthesis

= 8n³ + 20n² + 12n - 10n² - 25n - 15 ← collect like terms

= 8n³ + 10n² - 13n - 15

Wewaii [24]3 years ago

5 0

Answer:

$\large\boxed{(2n^2+5n+3)(4n-5)=8n^3+10n^2-13n-15}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2n^2+5n+3)(4n-5)\\\\=(2n^2)(4n)+(2n^2)(-5)+(5n)(4n)+(5n)(-5)+(3)(4n)+(3)(-5)\\\\=8n^3-10n^2+20n^2-25n+12n-15\\\\\text{combine like terms}\\\\=8n^3+(-10n^2+20n^2)+(-25n+12n)-15\\\\=8n^3+10n^2-13n-15$

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0 ft elevation, diver is underwater at depth of 138 ft. In this area, the ocean floor has a depth of 247 ft. A rock formations r

KiRa [710]

We know that the ocean floor has a depth of 247 ft, and we also know that the diver is underwater at depth of 138 ft, so its distance from the ocean floor will be:
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 $171-109=62$ ft

We can conclude that the diver is 62 feet below the top of the rock formations.