(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
Answer:
$0.95
Step-by-step explanation:
total cost of 7 pens = total amount spent - cost of binder
$7.90 - $1.25 = $6.65
cost of each pen = total cost of 7 pens / 7
$6.65 / 7 = $0.95
Answer:
Step-by-step explanation:
Probability=(number of specific outcomes)/(total number of outcomes)
Since there are 4 comedies and 3+4+5=12 total movies
P(C)=4/12=1/3
Hey there! Thanks for asking your question here on Brainly!
First, we'll need to get common denominators in each of the two fractions. This can be done by multiplying 1/2 by 5/5 and 1/5 by 1/2.
1/2 x 5/5 = 5/10
1/5 x 1/2 = 1/10
Next, since we now have common denominators, we can simply add the numerators of the fractions together. When adding or subtracting fractions, we have to get common denominators, then add the numerators together. In the final answer, the denominators will remain the same and will not be added together as we would do with the numerators.
5/10 + 1/10 = 6/10
Lastly, we'll need to simplify the fraction. Both the numerator and denominator can be divided by two.
(6/10) / 2 = 3/5
Our final answer is 3/5!
Hope this helps!! :)
