Without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3

(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    =  [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7

                                    =  0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 9 x 7 x (7 + 9)

                                    = 3 x 7 x 9 x 16

                                    = 3 x 7 x 9 x 8 x 2

                                    = 6 x 7 x 8 x 9

                                    = 3024

Hope this helps!

:)

73.0769230769% of the games were won

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.