Question

Simplify the expression. 4 − [(4b3 − 25b2 + 14b − 2) ÷ (4b − 1)]

Answer 1

Answer:

4 − [(4b3 − 25b2 + 14b − 2) ÷ (4b − 1)] = - b² - 6b + 6

Step-by-step explanation:

The expression is given to be :

4 - [(4b³ - 25b² + 14b - 2) ÷ (4b - 1)]

To solve this expression, we follow the rule of BODMAS

According to this we will follow the order of operation that is first we will do the division.

⇒ (4b³ - 25b² + 14b - 2) ÷ (4b - 1)

By carrying the division using long division method,. We get,

So, (4b³ - 25b² + 14b - 2) ÷ (4b - 1) = b² - 6b + 2

Now, the expression reduces to :  4 - b² - 6b + 2

⇒ Expression becomes : - b² - 6b + 6

Hence, 4 − [(4b3 − 25b2 + 14b − 2) ÷ (4b − 1)] = - b² - 6b + 6

Answer 2

1b^2+6b+2 is the answer