Question

Which expression is equivalent to the given polynomial expression?

(-4a2 - 36) + (-2ab - a2 + 63) + (-62 + 6ab)
O A.
-3a2 + 4ab + 36
O B.
-3a2 + 262
+ 8ab + 36
O C.
-5q2 + 262 + 8ab
- 36
O D.
-5a2 + 4ab
36

Answer 1

D

Step-by-step explanation:

you have to make groupes.

start with a² part and forget the rest from example.

-4a²-a²=? Now remember - and - is adding up. so -5a², which takes out options a and b, as there are 3a² instead of 5.

now let's take ab part and forge the rest.

-2ab+6ab=? that gives us 4ab. So option c, which says 8ab, is wrong. the last number isn't really important in this case because you've already seen the rest can't be.

Answer 2

The correct option is B.

The expression equivalent to the given polynomial is found by combining like terms. After simplifying, the equivalent expression is -5a^2 + 4ab - 3b, which corresponds to Option B.

Step-by-step explanation:

To determine which expression is equivalent to the given polynomial expression (-4a^2 - 3b) + (-2ab - a^2 + b^2) + (-b^2 + 6ab), we combine like terms.

First, combine the terms that contain a^2:
-4a^2 - a^2 = -5a^2.

Next, combine the terms that contain ab:
-2ab + 6ab = 4ab.

Lastly, combine the terms that contain b or b^2:
-3b + b^2 - b^2 = -3b.

Putting it all together, we get the simplified polynomial:-5a^2 + 4ab - 3b.

Therefore, the expression equivalent to the given polynomial expression is Option B: -5a^2 + 4ab - 3b.

The compete question is given below:

Which expression is equivalent to the given polynomial expression?

(-4a^2 - 3b) + (-2ab - a^2 + b^2) + (-b^2 + 6ab)

A. -3a^2 + 4ab + 3b

B. -5a^2 + 4ab - 3b

C. -3a^2 + 2b^2 + 8ab + 3b

D. -5a^2 + 2b^2 + 8ab + 3b