Answer:
(a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Step-by-step explanation:
Given
(a + b)³ + 8c³ ← this is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Thus
(a + b)³ + 8c³
= (a + b)³ + (2c)³
= (a + b + 2c)( (a + b)² - 2c(a + b) + (2c)² )
= (a + b + 2c)(a² + 2ab + b² - 2ac - 2bc + 4c²)
Answer:
Question 1: b) Find the total distance from A to B
Distance formula:
d=Square root of (x2-x1)^2+(y2-y1)^2+(z2-z1)^2
d=Square root of (6-4)^2+(12-8)^2+(10-2)^2
d= 9.165 = 9.17 units
Cost = fix cost + hourly cost - discount
Cost = 4* [5 + 4x - 4x(20/100)] = 4*[5 + 4x - 0.8x] = 4*[5 + 3.2x] = 20 + 12.8x
Answer: option B) 12.8x + 20
Answer:
(√2) / 3
Step-by-step explanation:
√(2/9) =√(2/3^2) =(√2)/3
