1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nevsk [136]
3 years ago
14

Evaluate without multiplying directly 998³ x 103³​Answer correctly I will mark them as brainlist

Mathematics
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

998 can be written as (1000 – 2)and103^3 can be written as 100+3

∴ 998 = 1000 – 2∴103=100+3

(998)³ = (1000 – 2)³

(103)³=(100+3)³

We know the formulas

(a – b)³ = a³ – b³ – 3ab(a – b)

(a + b)³ = a³ + b³ + 3ab(a + b)

(1000 – 2)³×(100+3)³ = {(1000)³ – (2)³ – 3 × 1000 × 2(1000 – 2)}×{(100)³+(3)³+3(100+3)}

(998)³×(103)³ =( 1000000000 − 8 – 5988000)×(1000000+27+309)

(998)³×(103)³ = 994011992×1000336

(998)³×(103)³=994345980000000

(998)³×(103)³=9.9434598×10^14

USPshnik [31]3 years ago
5 0

Answer:

1,086,183,741,982,184

Step-by-step explanation:

998^3

 = (1,000)^3 - (2)^3 - 3 · 1,000 · 2 (1000 - 2)

 = 1,000,000,000 - 8 - 6,000 (998)

 = 999,999,992 - 5,988,000

 = 994,011,992

103^3

 = (100 + 3)^3

 = (100)^3 + (3)^3 + 3(100) (3) + (100+3)

 = 1,000,000 + 27 + 900(103)

 = 1,000,027 + 92,700

 = 1,092,727

994,011,992 · 1,092,727

 = 994,011,992 · (1,000,000 + 90,000 + 2,000 + 700 + 20 + 7)

 = (994,011,992 · 1,000,000) + (994,011,992 · 90,000) + (994,011,992 · 2,000) + (994,011,992 · 700) + (994,011,992 · 20) + (994,011,992 · 7)

= 994,011,992,000,000 + 89,461,079,280,000 + 1,988,023,984,000 + 695,808,394,400 + 19,880,239,840 + 6,958,083,944

 = <u>1,086,183,741,982,184</u>

You might be interested in
What is the factored form of the quadratic expression x^2+36
e-lub [12.9K]

Answer:

(x − 6i) (x + 6i)

Step-by-step explanation:

Using real numbers, x² + 36 is already simplified.

Using imaginary numbers:

x² + 36

x² − 36i²

(x − 6i) (x + 6i)

6 0
3 years ago
Can you help me with number 4 A-D plz
Flauer [41]
You have to label it but try 1 and 1/4, -1 and 1/4,2, and -2
5 0
3 years ago
What is the perimeter
loris [4]

Answer:

81

Step-by-step explanation:

Add all of the together to find how much they all equal. 27x3 = 81

4 0
2 years ago
Read 2 more answers
If AJKL = AMNP, which statement must be true?
Karo-lina-s [1.5K]
Where are the statements
7 0
3 years ago
Read 2 more answers
Display how you could never a measurement given into ounces into pints
disa [49]
There is allways 4 ounces in 1 pint.
3 0
3 years ago
Read 2 more answers
Other questions:
  • at sal's carshop the salesman make 15 commission on every car they sell. If the dealership buys a car for $16,235 and the salesm
    8·1 answer
  • Consider the vector space p2 of polynomials of degree at most 2. let t be the linear transformation given by t(p(x)) = p(x − 1)
    11·1 answer
  • 7x to the fourth power- 5x to the fourth power
    7·1 answer
  • liz is installing a tile backsplash. if each tile is an equilateral triangle with sides that measures 6 cm in length how many ti
    11·1 answer
  • 19
    7·1 answer
  • What is the value of v?
    5·1 answer
  • JN = 18, JL = 30, KM = 36, find ML.<br> a. 21<br> b. 22<br> c. 23<br> d. 24
    15·1 answer
  • I'll mark you brainliest if you get this correct<br> PLEASE ANSWER<br> 10 points
    11·1 answer
  • Is 0.225 a rational number?
    10·2 answers
  • [(8-2) x (3+2) -1] x 3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!