Choose the correct simplification of (9x3y2)2. 18x5y4 81x5y4 18x6y4 81x6y4

Step-by-step explanation:

The given expression is

To simplify this expression, we need to use a power property about the power of a power, when this happens, we need to multiply exponents in the case of variables, and the number we elevated to the square power, so

We know that

Then, we replace each equivalence in the given expression

Therefore, the right answer is the last choice

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!

step-by-step explanation:

(3rd option) - c