If p∨q is true, then what must be true about the truth values of p and q?

where p and q are statements, "p and q" is false if
p is false.
which of the following statements is the contrapositive of "if i have money, then i spend it"?

if i don't have money, then i don't spend it.
if i spend money, then i have it.
if i don't spend money, then i don't have it.

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)

the football players are volunteering for the test.

happy to

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