The simplification of a³ - 1000b³ and 64a³ - 125b³ is (a - 10b) × (a² + 10ab + 100b²) and 4a - 5b) • (16a² + 20ab + 25b²) respectively.
<h3>
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:
brainly.com/question/723406
#SPJ1
Answer:
$360 on game console
$480 on tv
$1440 before spending money
x - 1/3x - 1/4x = $600
12/12x - 4/12x - 3/12x = $600
5/12x = $600
x = (12/5)($600)
x = $1440
Game Console = (1/4)(1440) = $360
Hope this helped!
Answer:
30 / 5 = 6.
6x3=18
Step-by-step explanation:
Hope this helped! Have a great day!
Answer:
Simplify {4}^{2}42 to 1616.
-16+2\times -4\times -5-2\times {2}^{3}−16+2×−4×−5−2×23
Simplify 2\times -42×−4 to -8−8.
-16-8\times -5-2\times {2}^{3}−16−8×−5−2×23
Simplify 8\times -58×−5 to -40−40.
-16-(-40)-2\times {2}^{3}−16−(−40)−2×23
Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}xaxb=xa+b.
-16-(-40)-{2}^{4}−16−(−40)−24
Simplify {2}^{4}24 to 1616.
-16-(-40)-16−16−(−40)−16
Remove parentheses.
-16+40-16−16+40−16
Simplify -16+40−16+40 to 2424.
24-1624−16
Simplify.
8
Step-by-step explanation:
hope it helps :)
Answer:
$221
Step-by-step explanation:
Hello!
The total cost s $627.83, for one desk that costs $185.83, and two identical chairs (c).
The equation: $185.83 + 2c = $627.83
This equation represents the cost of the desk plus two chairs of the same price, which adds up to the total price.
Solve for c:
- $185.83 + 2c = $627.83
- 2c = $442
- c = $221
Each chair, c, costs $221.
