leighannmfral
leighannmfral leighannmfral
  • 03-01-2019
  • Mathematics
contestada

Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 and the product of the two numbers is 1.

Respuesta :

gmany
gmany gmany
  • 03-01-2019

[tex]a^3+b^3=(a+b)^3-3ab(a+b)\\\\a+b=4,\ ab=1\\\\\text{Substitute:}\\\\a^3+b^3=(4)^3-3(1)(4)=64-12=52[/tex]

Answer Link

Otras preguntas

Numberrrrrrrrrr Threee
What are the x and y-intercepts of the line described by the equation? −6x+3y=18.9 Enter your answers, in decimal form, in the boxes. x-intercept = y-intercept
Absorption is the process of transporting nutrients from the small intestine to the ?
If the Alexanders completed the 735 mi. trip in 15 hr., what was their average rate of travel?
express this decimal as a fraction. 1.21212121.......
Paul will pay for his new car in 36 monthly payments.if his car loan is for $19,061,then about how much paul will pat each month? Round your answer to the neare
Which answer best describes how early British explorers used the land when they came to America? (4 points) They found fertile soil, which they used to grow a v
which expression is represented by the model below?
What amendment gave 18 years old the right to vote?
what time of income is received through rent?