You have a gross income of $117,151 and are filing your tax return singly. You claim one exemption and can take a deduction of $2,713 for interest on your mortgage, an adjustment of $2,791 for business losses, an adjustment of $1,346 for alimony, a deduction of $2,086 for property taxes, a deduction of $2,376 for contributions to charity, and an adjustment of $1,091 for contributions to your retirement fund. The standard deduction for a single filer is $5,700, and exemptions are each worth $3,650.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

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)