The answer for this is 60
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)
Step-by-step explanation:
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Given inequality : 175 ≤ 3x-17 ≤ 187, where x represents the height of the driver in inches.
Let us solve the inequality for x.
We have 17 is being subtracted in the middle.
Reverse operation of subtraction is addition. So, adding 17 on both sides and also in the middle, we get
175+17 ≤ 3x-17+17 ≤ 187+17
192 ≤ 3x ≤ 204.
Dividing by 3.
192/3 ≤ 3x/3 ≤ 204/3.
64 ≤ x ≤ 68.
Therefore, the height of the driver should be from 64 to 68 inches to fit into the race car.
