There are many penguins on a hill. 53 penguins waddled off the hill. now 21 penguins remain on the hill. how many penguins were on the hill to start? 74 penguins 72 penguins 32 penguins 34 penguins

74 Penguins

Step-by-step explanation:

1. 53+21

2. =74

Penguins are my favorite animal. What's yours?

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

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