2 The measure of one side of a square is (s + 3) inches long. Which pair of expressions both represent the perimeter of
this square?
2s + 3
A and
(s + 3) (8 +3)
2 (8 +3)
B and
(s + 3) (s + 3)
4s + 3
and
(8 + 3) + (8 + 3) + (8 + 3) + (8 + 3)
4 (8+3)
D) and
(s + 3) + (8 + 3) + (8 + 3) + (8 +3)

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D) and (s+3) + ( 8+3) +(8+3)+(8+3)+(8+3)

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

p.s.   i'll be on vacation from friday, dec 22 to jan 2, 2019. have a great new year!