The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.
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Simplification</h3>
Question 1: a³ - 1000b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 1000 is the cube of 10
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(a - 10b) × (a² + 10ab + 100b²)
Question 2: 64a³ - 125b³
a³ - b³
= (a-b) × (a² +ab +b²)
- 64 is the cube of 4
- 125 is the cube of 5
- a³ is the cube of a¹
- b³ is the cube of b¹
So,
(4a - 5b) • (16a² + 20ab + 25b²)
Learn more about simplification:
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It shows the distance between him and the coach getting the “motion” of his running time. It’s like the circle with the line in the middle...
Answer:
The answer would be 27π
Step-by-step explanation:
the area is 36pi and the shaded region is 3/4 of the circle, as a 90 degree angle is 1/4 of a 360 degree circle. 3/4 of 36pi is 27pi
Answer:
Step-by-step explanation:
Answer: Yes
Step-by-step explanation:
When using the distributive property, 6(2x + 4) becomes 12x + 24
6 * 2x = 12x and 6 * 4 = 24
12x + 24 = 12x + 24
Therefore, the expressions are equivalent.
