Mr. Henderson’s annual premium of $4,668 is covered entirely by his employer along with 25% of the $9,264 premium for his wife and kids. How much of the Henderson family’s annual premium is being paid for by Mr. Henderson’s employer?

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)

333.74 ! should be your answer for this question

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нσρє ι ¢συℓ∂ нєℓρ уσυ.

6 cars because if you have 8 and subtract 2 youll have 6 left over