pvabdiel2347 pvabdiel2347
  • 04-03-2022
  • Mathematics
contestada

can anyone answer this question??

simplify using identities: I) (8.79)^2 - (1.21)^2
ii) 999 x 998
(algebraic expressions)

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 06-03-2022

Answer:

  i) 75.8

  ii) 997,002

Step-by-step explanation:

Each of these expressions can be rewritten to make evaluation a little easier.

i)

The difference of squares can be factored.

  a^2 -b^2 = (a -b)(a +b)

  8.79^2 -1.21^2 = (8.79 -1.21)(8.79 +1.21) = (7.58)(10) = 75.8

__

ii)

The values are near 1000, so can be expressed as differences from that number.

  (999)(998) = (1000 -1)(1000 -2) = 1000^2 -3(1000) +2) = 997,002

Answer Link

Otras preguntas

explain why it is not possible to draw a square that is not a parallelogram
how do u say go sit down in creole
Why did ancient Egyptian civilization fall?
What is the solution to this awnser 6x+2y=-26
Definition of pascal's principle
Evaluate each expression. 1. 56/b for b=7 2. v+16 for v=9 3.2(4e) for e=5
an office supply company has 180 boxes of paper. they have 22 clients and each client must receive the same amount of paper . how many boxes of paper will each
State programs such as education, transportation, and public safety are implemented by which branch of government? A.judicial B.legislative C.executive D.federa
Which statement does not describe conditions that led to the War of 1812? A.England still had forts in territories west of the Appalachians B. British sea capta
kayla's class went on a field trip to an aquarium . one tank had 30 clown fish. She miscounted the total number of clown fish in the tank and recorded it as 24