<u>Sum of Cubes:</u>
a³ + b³ = (a + b)(a² - ab + b²)
Example: x³ + 8 → a=x, b=2
= (x + 2)(x² - 2x + 4)
<u>Difference of Cubes:</u>
a³ - b³ = (a - b)(a² + ab + b²)
Example: x³ - 27 → a=x, b=3
= (x - 3)(x² + 3x + 9)
<u>Difference of Squares:</u>
a² - b² = (a - b)(a + b)
Example: x² - 16 → a=x, b=4
= (x - 4)(x + 4)
Answer:
(-340)/231
Step-by-step explanation:
Simplify the following:
((-34)/33)/(7/10)
Multiply the numerator by the reciprocal of the denominator, ((-34)/33)/(7/10) = (-34)/33×10/7:
(-34×10)/(33×7)
33×7 = 231:
(-34×10)/231
-34×10 = -340:
Answer: (-340)/231
Janna behanihe invented it
-48 = 2x - 8y
-24 = x - 4y
4y = x + 24
y = (1/4)x + 6
Slope of the line
1/4
Answer:
= 2 4/15 km
Step-by-step explanation:
Speed = 3 2/5 km/hour
The units are not the same. The speeds is in hours and the time is in minutes
Lets convert minutes to hours. 60 minutes = 1 hour
40 minutes * 1 hour/ 60 minutes = 40/60 hours = 2/3 hour
Distance = speed * time
= 3 2/5 * 2/3
Change the mixed number to an improper fraction
3 2/5 = (5*3+2)/5 = 17/5
= 17/5 * 2/3
= 34/ 15 km
Change this back to a mixed number
15 goes into 34 2 times (15*2 = 30) with 4 left over
= 2 4/15 km
