hello from mrbilldoesmath!
answer: (7x + 6y) ( 49x^2 - 42xy + 36y^2)
discussion:
in general, the factorization of a^3 + b^3 is
a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)
in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:
343x^3 + 216y^3 = (7x)^3 + (6y)^3
if you think of a (above) as 7x and b as 6y the factorization becomes
343x^3 + 216y^3 =
((7x + 6y) ( (7x)^2 - 7x*6y + (6y)^2) =
(7x + 6y) ( 49x^2 - 42xy + 36y^2)
you,
mrb
(a + b) (a^2 - a b + b^2)
it's undefined because anything multiplied by 0 is 0. that said, 7 days is 168 hours
a. (14,375+570)(5.3) b. 158,417$
step-by-step explanation:
a. you are basically just setting up the equation. f= amount of debt hence 14,375. g= how much she is borrowing from her parents weekly hence 570 and t= the interest on her debt. creating the equation.
b. 14,375+570= 14,945
14,945 x 5.3 = 79,208.5
79,208.5 x 2(years) = 158,417(answer)
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