Explain why each expression is or is not a perfect square trinomial. (1) x^{2} + 6x + 12 x2+6x+12
(2) x^{2} + 18x + 81 x2+18x+81
(3) x^{2} + 15x + 25

Step-by-step explanation:

(1) x^2 + 6x + 12

- this has no real roots so NOT a perfect square trinomial.

(2) x^2 + 18x + 81

= (x + 9)(x + 9)

- 2 identical factors so it is a PST.

(3) x^2 + 15x + 25

does not factor as  2 does, so NO.

70.30

step-by-step explanation:

hello from mrbilldoesmath!

answer:   x^2 + y^2 = 1024

discussion:

the equation of a circle with center (h,k) and radius "r" is

(x-h)^2 + (y-k)^2 = r^2.

in our case

(x-0)^2 + (y-0) ^2 = 32^2 = 1024

you,

mrb