Julio wants to calculate 200,000 × 300,000. When he used his calculator to multiply, it showed the result below: 6E+10
Write the number shown on the calculator display in standard form.
A. 60,466,176
B. 600,000,000
C. 6,000,000,000
D. 60,000,000,000
I WANT A DEFINITE ANSWER NOT A 50/50!!!

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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