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Solnce55 [7]
3 years ago
11

What is the coefficient of x2 in the expansion of (x + 2)3?

Mathematics
1 answer:
wolverine [178]3 years ago
4 0
One way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get x^2+4x+4.
Then do (x^2+4x+4)*(x+2)
That will be x^3+6x^2+12x+8
So the answer is 6
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I need help please explain how to do these two question as I did the rest of them. I just don't understand these.
Alexxandr [17]

Answer:

7. (4x +10)/(x^3 +3x^2 -16x -48)

9. -320/93

Step-by-step explanation:

7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.

6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))

= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator

= (6x +18 -2x -8)/((x -4)(x +3)(x +4))

= (4x +10)/((x^2 -16)(x +3))

= (4x +10)/(x^3 +3x^2 -16x -48)

_____

9. First you simplify the denominator:

2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400

Then you perform the division. This can be done by multiplying by the inverse of the denominator.

(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93

6 0
4 years ago
What is the value of: 1/2^-2x^-3y^5 for x=2 and y=-4
belka [17]
I am almost 100% sure that this is the correct answer -1/32. 
7 0
3 years ago
The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of tennis balls with 16 tennis ba
Anna35 [415]
14 baseballs + 23 tennis balls = 37 total balls
x = the number of boxes
16x + 37 <== ur expression
8 0
3 years ago
Read 2 more answers
PLS HELP With GEO FOR 50 PTS!!!!!
zaharov [31]

Without doing the math, you can can see that the 100ft marker is about 1/3rd of the bottom(combining the triangle and the rectangle) This floor is practically(if not exactly) the same length of each vertical side of the building.

"100 x 3" is 300, So I am pretty sure the answer is 308.

Good luck!

-RxL

6 0
3 years ago
Write an equation in slope-intercept from the line with slope 3/5 and y-intercept 1 . Then graph the line.
never [62]

Answer:

y=(3/5)x+1

Step-by-step explanation:

Slope-intercept form of a line is as follows

y=mx+c, where m is the slope of the line and c is the y intercept.

Hence the equation of the line is y=(3/5)x+1

3 0
3 years ago
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