Let x be a natural number. considerthe following quantification: po)vx(2> ), state p(x) in words. b. a. which one of the following compound propositions is equivalent to pix)? 2. p(1) v p(2) v p(3) v p(4.. c. is p(x) true or false? explain. x let x be a real number. consider the followingquantification: p(x): 3x(x2

55

step-by-step explanation:

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

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