# SOLUTION: How would you find the product and simplify the following: (2a+5)^3 (the up arrow meaing the the power of 3) thank you

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 Question 429598: How would you find the product and simplify the following: (2a+5)^3 (the up arrow meaing the the power of 3) thank youFound 2 solutions by Gogonati, ewatrrr:Answer by Gogonati(809)   (Show Source): You can put this solution on YOUR website!Solution:We apply the formula: Where,x=2a, and y=5. Substitute: , simplify: . Done. Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi (2a+5)^3 (2a+5)(2a+5)(2a+5) (2a+5)(4a^2 + 20a + 25) 2a(4a^2 + 20a + 25) + 5(4a^2 + 20a + 25) 8a^3 + 60a^2 + 150a + 625 CHECKING our Answer***with the bionomial expansion formula for n=3 In General: (x+y)^3 = x^3 + 3(x^2)y + 3xy^2 + y^3 (2a+5)^3 = (2a)^3 + 3(2a)^2*5 + + 3(2a)(5^2) + 5^3 8a^3 + 60a^2 + 150a + 625 ```