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)
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Answer:
0
Step-by-step explanation:
4-6 is -2 and |3-5| is -2 but the |-2| makes it 2 so -2+2=0 so 0/3=0
Answer:
16 and 7
Step-by-step explanation:
48/3 = 16. 16 = 16/1
56/8 = 7. 56/8 = 7/1
Answer:
Her mother will donate $24
Step-by-step explanation:
In order to find this, first find the unit rate. To do so, divide the amount by the number of miles it takes to get that amount.
$0.40/0.25 miles = $1.60 per mile
Now we multiply that by the total number of miles.
$1.60 per mile * 15 miles = $24
Answer:
The slope of line for given points is 
Step-by-step explanation:
Given points of line as :
A = ( - 7 , 15 ) i, e
= - 7 ,
= 15
B = ( 10 , 27 ) i.e
= 10 ,
= 27
Let The slope of line be m
So , The slope with two points is given as equation
m = 
Or, m = 
Or, m = 
Hence The slope of line for given points is
. Answer