abhirammm
abhirammm abhirammm
  • 22-02-2018
  • Mathematics
contestada

If 2a+3b=12 and ab=6 find the value of 8a^3+27b^3

Respuesta :

jcherry99
jcherry99 jcherry99
  • 23-02-2018
(2a + 3b)^2 = 4a^2 + 12ab + 9b^2 =
((4a^2 - 6ab + 9b^2) + 18ab) = 144
4a^2 - 6ab + 9b^2 = 144 - 18 ab

8a^3 + 27b^3 = (2a + 3b)(4a^2 - 6ab + 9b^2)
8a^3 + 27b^3 = (2a + 3b)*(144 - 18ab)
8a^3 + 27b^3 = 12 * (144 - 18ab)
= 12 * ( 144 - 18*6) since ab = 6
= 12 * (144 - 108)
= 12 * (36)
=  432 <<<<==== answer 

Answer Link

Otras preguntas

WHAT HAPPENS WHEN YOU HAVE TOO MUCH Iron IN YOUR BLOOD?
Nathan is buying a cell phone for his business. The regular price of the cell phone is $179. If he buys the phone in the next 2 weeks, he will get a 20% discoun
what is the main point being made by the cartoonist documeny E
dont knwo the answers for question 4,5,6
write a formula that relates the are A of a triangle to to the lengths of its base b and height h
Lee used her computer for 60 minutes on Friday. On Saturday, she used her computer for 150% of the number of minutes she used it on Friday. What was the number
WHAT HAPPENS WHEN YOU HAVE TOO MUCH Iron IN YOUR BLOOD?
:Select the correct text in the passage .Which lines in this excerpt from Phillis Wheatley's poem "Goliath of Gath" contain examples of figurative language? The
What molecule is responsible for determining the fate of each cell
Question 16 of 20 Select the best answer for the question. 16. Which of these federal policing agencies is part of the U.S. Department of the Treasury?