A beverage company operates two factories. Their outputs are represented by these expressions, where b is the number of bottles produce Factory A: 2b3 – 3b2 + b - 120
Factory B: 4b2 – 3b – 260
Which polynomial represents the company's total output?
A. 6b3 – 3b2 - 3b - 140
B. 2b3 - 7b2 + 4b + 140
C 2b3 + b2 - 2b - 380
D. 6b3 – 6b2 + b + 380

C 2b3 + b2 - 2b - 380

Step-by-step explanation:

Given:

Factory A: 2b^3 – 3b^2 + b - 120

Factory B: 4b^2 – 3b – 260

The company's total output = factory A + factory B

= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)

= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260

Collect like terms

= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260

= 2b^3 + b^2 - 2b - 380

C. 2b^3 + b^2 - 2b - 380

Option C is the correct answer

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.