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Thepotemich [5.8K]
3 years ago
7

Simplify 2a^2b^3(4a^2+3ab^2-ab)

Mathematics
1 answer:
-BARSIC- [3]3 years ago
3 0
2a^2b^3(4a^2+3ab^2-ab)=? 
<span>
is what I presume you actually meant. </span>
<span>
Pull out the common factors of (4a^2+3ab^2-ab) and you will get </span>
<span>
a(4a+3b^2 -b) </span>

Substitute this back into the original equation and you get 
<span>
2a^2b^3[a(4a+3b^2-b)] = </span>
2a^3b^3(4a+3b^2-b) = 
<span>2a^3b^3(4a-b+3b^2)
</span>
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The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this
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Answer:

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6 0
3 years ago
The area A, in square meters, of a rectangle with a perimeter of 160 meters is given by the equation A = 80w − w2, where w is th
Sonja [21]

Answer:

the width is 10 m

Step-by-step explanation:

if the relationship between area and width is

A = 80*w − w²

for an area A=700 m² , we have

700 m² = 80*w − w²

w² - 80*w + 700 m² = 0

aw² + b*w + c = 0

where a=1 , b=-80 and c=700

this quadratic equation has as solution the following formula

w = [-b ± √ ( b² - 4*a*c) ]/(2*a)

replacing values

w = [80 ± √ ( 80² - 4*1*700) ]/(2*1) = (80 ± 60)/2

then

w₁=(80 - 60)/2 = 10 m

w₂ =(80 + 60)/2 = 70 m

since the area has the form A= length * width = 80*w − w² = (80− w)*w

then the length of the rectangle is

length = 80− w

for w₁=10 m → length = 80− 10 = 70 m

for w₁=70 m → length = 80− 70 = 10 m

by definition the shorter side is the width ( and the longer one , the length) , therefore the only possible option is the first one .

Thus the width is 10 m

7 0
3 years ago
Manny's graph shows that the total snowfall after 2 hours was 3 in.
igor_vitrenko [27]
I think it is c 7 hours                                                      


6 0
3 years ago
A regular hexagon is dilated by a scale factor of 7/5 to create a new hexagon. How does the perimeter of the new hexagon compare
Airida [17]
<span>It's the same ratio, 7/5.</span>
3 0
4 years ago
Read 2 more answers
The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one b
monitta

Answer:

24

Step-by-step explanation:

There are 6 different types of rackets and 4 different types of balls.

To determine the number of different combinations

6 rackets * 4 balls

24 combinations

7 0
3 years ago
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