1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Dominik [7]
1 year ago
3

(b) Expand and simplify (x - 3) (2x + 3)(4x + 5)

Mathematics
2 answers:
Paha777 [63]1 year ago
8 0

Answer:

8x³ - 2x² - 51x - 45

Step-by-step explanation:

(x - 3)(2x + 3)(4x + 5) ← expand the 2nd/3rd factors using FOIL

= (x - 3)(8x² + 10x + 12x + 15)

= (x - 3)(8x² + 22x + 15)

multiply each term in the second factor by each term in the first factor.

x(8x² + 22x + 15) - 3(8x² + 22x + 15) ← distribute parenthesis

= 8x³ + 22x² + 15x - 24x² - 66x - 45 ← collect like terms

= 8x³ - 2x²- 51x - 45

Nana76 [90]1 year ago
4 0

Expand first 2 bracket first to get:

2x^2 + 3x - 6x - 9 & simplify, then expand with last bracket.

2x^2 - 3x - 9 (4x + 5)

2x^2 x 4x = 8x^4

2x^2 x 5 = 10x^2

Repeat for the next two numbers next to the bracket.

You get => 8x^3 + 10x^2 - 12x^2 - 15x - 36x - 45

Final simplified answer of:

8x^3 - 2x^2 - 51x - 45

Hope this helps!

You might be interested in
A game decreases in price by 1/3 . After the reduction it was priced £32. What was the original price of the game
a_sh-v [17]

Answer:

96

Step-by-step explanation:

it 32 x 3

7 0
3 years ago
At times, latitudes with values higher than ________ degrees can have ~ 24 hours of continuous sunshine.
ryzh [129]

At times, latitudes with values higher than<u> 66.5</u>  degrees can have ~ 24 hours of continuous sunshine.

Locations above the Arctic Circle (north of latitude 66.5 degrees, 90 degrees minus the tilt of the Earth's axis) are exposed to 24-hour sunlight. Below the Arctic Circle (latitude 66.5 degrees south), there is 24-hour darkness.

When at the equator, the sun is directly above – at the poles, the sun is on the horizon. However, regardless of the current location (from the pole to the equator), all parallels are bisected, so we have 12 hours a day and 12 hours a night in all locations.

Learn more about latitudes here: brainly.com/question/1939015

#SPJ4

7 0
2 years ago
If you were solving a system of equations and you came to a statement like 4 = 4, what do you know about the solution to the sys
GuDViN [60]
It is infinite solutions.
6 0
3 years ago
Read 2 more answers
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temp
kiruha [24]

Answer:

Zero

Step-by-step explanation:

The temperature will remain constant over time. This means the slope of the graph will be constant from one point of the graph to the other, which cancels out to zero.

8 0
3 years ago
A dumpster in the shape of a rectangular prism has a volume of 240 cubic feet. The length of the dumpster is 4 feet less than tw
VARVARA [1.3K]

Answer:

240 = w (2w − 4) (w − 1)

Step-by-step explanation:

Volume of a rectangular prism is width times length times height.

V = wlh

Given:

V = 240

l = 2w − 4

h = w − 1

Substituting:

240 = w (2w − 4) (w − 1)

4 0
4 years ago
Read 2 more answers
Other questions:
  • 3/4(n+3)=9 how do I find n
    8·2 answers
  • Can someone help me 4-5 please im desperate
    6·1 answer
  • A recipe calls for 3 3/4 cups of flour. How many cups will you need if you are preparing 5 batches of the recipe?
    5·1 answer
  • N minus 6 divided by 3 equals negative 4
    8·1 answer
  • A large round pizza has a diameter of 14 inches what is the approximate area of the pizza
    10·1 answer
  • Korina uses 8.3 pints of blue paint and white paint to paint her bedroom walls. 3/4 of the amount is blue paint, and the rest is
    15·1 answer
  • Hello! I needed help with questions 4,5 and 6. Thank you sm :)
    12·2 answers
  • Can someone pls give me the answer to this?
    5·1 answer
  • The cost of regular gasoline is $3.57 per gallon. You're planning a road trip from Hayward to Big Sur to go camping, a distance
    11·1 answer
  • Ayna and Leslie both simplified the expression. Which student is correct
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!