Expressions

Question 1

First step to solving a(x^2)+bx+c+d(x^2)+ex+f

Answer 1

Combine like terms:
(a+d)(x^2)+(b+e)x+c+f
make sure only the expressions that can go together, go together rather than the expressions that seem like they can go together but can’t really aka be careful!

Question 2

(a+b)^2

Answer 2

(a^2)+2ab+(b^2)

Question 3

(a-b)^2

Answer 3

(a^2)-2ab+(b^2)

Question 4

(a^2)-(b^2)

Answer 4

(a+b)(a-b)

Question 5

Steps in solving k(ax+b)(cx+d)

Answer 5

1. Distribute k w/ (ax+b)
   =kax+kb
2. Distribute step 1 w/ (cx+d)
   =kac(x^2)+(kad+kbc)(x)+kbd

Question 6

(a/(bx+k))+(c/(dx+e))

Answer 6

(a(dx+e)+c(bx+k))/(bx+k)(dx+e)

Question 7

a/(b/c)

Answer 7

ac/b

Question 8

(a/b)/c

Answer 8

(a/(bc)

Question 9

(a+b)/c

Answer 9

(a/c)+(b/c)