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ad-work [718]
3 years ago
10

Simplify 3p^2q+3p(2pq-4)+5p^3

Mathematics
2 answers:
aniked [119]3 years ago
7 0
Step by Step
3p^2q+3p(2pq−4)+<span>5p^3
</span>
Distribute:

<span>=<span><span><span><span><span>3p^2</span>q</span>+<span><span>(3p)</span><span>(<span>2pq</span>)</span></span></span>+<span><span>(3p)</span><span>(−4)</span></span></span>+<span>5p^3</span></span></span><span>=<span><span><span><span><span><span>3p2</span>q</span>+<span><span>6p2</span>q</span></span>+</span>−12p</span>+<span>5<span>p3

</span></span></span></span>Combine Like Terms:

<span>=<span><span><span><span><span>3p^2</span>q</span>+<span><span>6p^2</span>q</span></span>+<span>−12p</span></span>+<span>5p^3</span></span></span><span>=<span><span><span>(<span>5p^3</span>)</span>+<span>(<span><span><span>3p^2</span>q</span>+<span><span>6p^2</span>q</span></span>)</span></span>+<span>(<span>−12p</span>)</span></span></span><span>=<span><span><span>5p^3</span>+<span><span>9p^2</span>q</span></span>+<span>−<span>12<span>p
</span></span></span></span></span>=<span>5p^3+9p^2q−12p</span>
ipn [44]3 years ago
4 0
Distribute
a(b+c)=ab+ac
3p(3pq-4)=9p^2q-12p

we have

3p^2q+9p^2q-12p+5p^3
add like terms
4p^3+12p^2q-12p
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Can someone plz help a bro out
Eddi Din [679]
F(-1) = -6
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7 0
3 years ago
Divide 72kg in a ratio of 1:3:5, someone plz tell me how to do this :D ;D
Vladimir [108]


Ratio of 1:3:5

Sum= 1+3+5 = 9 total parts

dividing 72kg


For 1: = 1/9 * 72 = 8kg

For 3: = 3/9 * 72 = 24kg

For 5: = 5/9 * 72 = 40kg

8 0
3 years ago
If one inch represents 12 feet, what dimensions would you use to make a scale drawing of a building 75 by 80 feet
viva [34]

Answer:

<u>864000</u>

Step-by-step explanation:

12 feet is one inch so you times the numbers 75x12 and 80x12. 900+960=864000.

3 0
4 years ago
A factory used 99.19 kilograms of tomatoes to make 7 batches of pasta sauce. What quantity of tomatoes did the factory put in ea
____ [38]

Answer:

14.17 kilograms

Step-by-step explanation:

Find what quantity of tomatoes was in each batch by dividing the total amount of tomatoes by the number of batches:

99.19/7

= 14.17

So, the factory put 14.17 kilograms of tomatoes in each batch.

5 0
3 years ago
What is the result of dividing the distance around a circle by the distance across the same circle? What number can you use as a
tekilochka [14]

Answer: The result of the division is the number pi.

And the approximation of pi is: pi = 3.14

Step-by-step explanation:

The distance around a circle is called the perimeter of the circle.

The distance across a circle (This is a line that starts on one point of the circle, go through the center of the circle, and end in the next time it intersects the circle) is called the diameter of the circle.

The quotient between these two quantities is maybe one of the most famous numbers in the world, is the number pi, written as:

π = 3.14159265358979...

Is an irrational number, which means that the decimals keep going infinitely.

Then we can conclude that:

"The result of dividing the perimeter by the diameter, is equal to the number pi = π = 3.14159265358979..."

Because this is an irrational number and is actually impossible to write it, we usually use pi = 3.14 to aproximate it.

6 0
3 years ago
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