IF A = (a, b) and B = {x, y, z), find A ×B, B x A, A X A and B x B. Also, show A×B is not equal to B×A

Step-by-step explanation:

A×B={(a , x) ,( a , y), (a ,  z), (b ,x) ,(b ,y) ,(b ,z)}

B × B= {(x , x), (x ,y ), (x, z),(y ,x ),(y, y), (y, z),( z ,x ),( z, y),( z ,z)}

A×A={ (a, a), (a, b),( b, a) ,(b ,b )}

B×A= { (x ,a) ,(x, b),( y , a) ,(y , b) ,(z ,a), (z ,b ) }

a negative exponent is translated as follows:

so, we have

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!