1. Factor 4t + 2rt + 8st completely.
A) t(2 + r + 4s)
B) t(4 + 2r + 8s)
C) 2t(2 + r + 4s) ***
D) 2(t + rt + 4st)
2. If C = 2a^2 - 5 and D = 3 - a, then C - 2D equals
A) 2a^2 + a - 8
B) 2a^2 - a - 8 ***
C) 2a^2 + 2a - 11
D) 2a^2 - a - 11
not B. You want C-2D
A is C-D. B is not even that.
So the first one is correct right?
NO! I just told you that A = C-D but you want C-2D
C-2D = 2a^2 - 5 - 2(3-a) = 2a^2 - 5 - (6-2a)
By A i meant problem 1, sorry for the confusion
oops. Yes, #1 is correct.
To factor the expression 4t + 2rt + 8st completely, we need to find the greatest common factor of all the terms and then factor it out.
1. Identify the common factors: The expression has a common factor of t, r, and s.
2. Find the greatest common factor: The greatest common factor of t, r, and s is t.
3. Divide each term by the greatest common factor: Divide each term by t.
(4t + 2rt + 8st) / t = 4 + 2r + 8s
4. Rewrite the expression with the greatest common factor factored out: Add the greatest common factor (t) as a common factor to the factored expression obtained in step 3.
Factored expression = t(4 + 2r + 8s)
Therefore, the correct answer is A) t(4 + 2r + 8s).