Rewrite the expression below.
-2a (a + b - 5) + 3(-5a + 2b) + b(6a + b - 8)
The coefficient of the a^2 term is:
The coefficient of the ab term is:
The coefficient of the b term is:
The coefficient of the a^2 term is -2.
The coefficient of the ab term is 13.
The coefficient of the b term is 2.
isn't the ab term 4 and the b term -2?
Apologies for the confusion. You are correct. The coefficient of the ab term is 4, and the coefficient of the b term is -2.
how do you get these answers?
To find the coefficients of each term, you can distribute and combine like terms. Let's break down the given expression step by step:
-2a(a + b - 5) + 3(-5a + 2b) + b(6a + b - 8)
First, we distribute -2a:
-2a^2 - 2ab + 10a + 3(-5a + 2b) + b(6a + b - 8)
Next, we distribute 3:
-2a^2 - 2ab + 10a - 15a + 6b + b(6a + b - 8)
Then, we distribute b:
-2a^2 - 2ab + 10a - 15a + 6b + 6ab + b^2 - 8b
Now, combine like terms:
-2a^2 + 6b^2 + (10a - 15a) + (-2ab + 6ab) + (-8b)
-2a^2 + 6b^2 - 5a + 4ab - 8b
From this expanded expression, we can identify the coefficients:
The coefficient of the a^2 term is -2.
The coefficient of the ab term is 4.
The coefficient of the b term is -8.