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
Leno4ka [110]
3 years ago
9

Expand (2x -3y)^5 using the given formula.

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0
(2x-3y)^5

(2x-3y)(2x-3y)(2x-3y)(2x-3y)(2x-3y)

1st and 2nd power :
(2x-3y)(2x-3y) = 2x(2x-3y)-3y(2x-3y) = 4x² - 6xy - 6xy + 9y²
= 4x² - 12xy + 9y²

3rd power:
(2x-3y)(4x² - 12xy + 9y²) = 2x(4x² - 12xy + 9y²) - 3y(4x² - 12xy + 9y²)
8x³ - 24x²y + 18xy² - 12x²y +36xy² - 27y³
8x³ - 24x²y - 12x²y + 18xy² + 36xy² - 27y³
8x³ - 36x²y + 54xy² - 27y³

4th power
(2x-3y)(8x³ - 36x²y + 54xy² - 27y³) = 2x(8x³ - 36x²y + 54xy² - 27y³) -3y(8x³ - 36x²y + 54xy² - 27y³) = 16x^4 - 72x³y + 108x²y² - 54xy³ - 24x³y + 108x²y² - 162xy³ + 81y^4
16x^4 - 72x³y - 24x³y + 108x²y² + 108x²y² - 54xy³ - 162xy³ + 81y^4
16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4

5th power
(2x-3y)(<span>16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4)
2x(</span>16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4) - 3y(<span>16x^4 - 96x³y + 216x²y² - 216xy³ + 81y^4)
= 32x^5 - 192x^4y + 432x</span>³y² - 432x²y³ + 162xy^4 - 48x^4y + 288x³y² - 648x²y³ + 648xy^4 - 243y^5

32x^5 - 192x^4y -48x^4y + 432x³y² + 288x³y² - 432x²y³ - 648x²y³ + 162xy^4 + 648xy^4 - 243y^5

32x^5 - 240x^4y + 720x³y² - 1,080x²y³ + 810xy^4 - 243y^5
You might be interested in
Find <br> 2 numbers greater than 6 with the LCM 40
Katarina [22]
That is impossible but I did some math so there are 2 ways that will equal more than 40.

6.7×6.0=40.2
6.5×6.2=40.3

Hope this helps!
6 0
3 years ago
For what value(s) of k is the trinomial x² + kx - 24 factorable?
Elza [17]

Answer:

.......................

4 0
3 years ago
Determine the domain and range of the graph below.
Leni [432]

Answer:

Last one

Step-by-step explanation:

3 0
3 years ago
A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without r
lisov135 [29]
P(black socks): 24/42 or 12/21
P(black socks without replacing): 23/41. As a result, the probability of randomly picking 2 black socks, without replacement, from the basket is 12/21×23/41=276/861 or 32%. Hope it help!
6 0
3 years ago
Find j(3x^4y^7) if j(n)=n^3
qaws [65]

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*x-(4*y-7)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   3x-4y+7  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-4y+7  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/4 so this line "cuts" the y axis at y= 1.75000

 y-intercept = 7/4  =  1.75000

Calculate the X-Intercept :

When y = 0 the value of x is -7/3 Our line therefore "cuts" the x axis at x=-2.33333

 x-intercept = -7/3  = -2.33333

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.750 and for x=2.000, the value of y is 3.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.250 - 1.750 = 1.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.500/2.000 =  0.750

Geometric figure: Straight Line

 Slope = 1.500/2.000 = 0.750

 x-intercept = -7/3 = -2.33333

 y-intercept = 7/4 = 1.75000

4 0
2 years ago
Other questions:
  • The function g is defined by g(x)=2x^2+3<br> Find g(5a)
    11·2 answers
  • For figure ABCDEF shown here, identify the image after a clockwise rotation of 240°, or
    6·1 answer
  • I need help!!!<br> please XD
    12·1 answer
  • Shania had $20 to spend on seven raffle tickets. After buying them she had $6. How much did each raffle ticket cost?
    5·1 answer
  • The height of a diver above the water is given by the quadratic function h(t)= -5t^2+5t+10, with t in seconds and h(t) meters. W
    13·1 answer
  • Help me please ill give brainlest
    14·1 answer
  • Lucy was running a 10 mile race and the graph represents her running pace for the race. If the x-axis represents miles ran and t
    14·1 answer
  • 20 points!~ And thanks if you help me.
    9·1 answer
  • PLZ HELP ME ILL MARK BRAINLIETS
    10·1 answer
  • Help me please they are going to kick me out if not
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!