Question

Use the expression –4b + 8c + 12 – 8b – 2c + 6
Part A Simplify the expression. Enter your answers in the boxes.
Part B Factor the simplified expression using the GCF.
A. 2(–2b + c + 3)
B. 3(–2b + c + 3)
C. 4(–2b + c + 3)
D. 6(–2b + c + 3)
Part C What is the value of the expression when b = 2 and c = –3? Enter your answer in the box.

Answer 1

Answer:

refer the attachment hope its help u

Answer 2

Answer:

  $-4b+8c+12-8b-2c+6$ $=-24$  

Step-by-step explanation:

Given : The expression is $-4b+8c+12-8b-2c+6$.

To find : i) Simplify the expression.

           ii) Factors of the simplified expression

           iii) What is the value of the expression when $b=2$ and $c=-3$.

Solution :

• The given expression is $-4b+8c+12-8b-2c+6$.
• We have to simplify the given expression.
• To simplify this expression, we have to add or subtract similar terms as per given in the expression. We get

       i)   $-4b+8c+12-8b-2c+6$ = $-12b++6c+18$

      This is the simplifies form of given expression.

• ii) Factors of the simplified expression, taking out $6$ as a common, to get

     $-12b++6c+18$ = $6(-2b+c+3)$

    Hence, option (D) is correct.

• iii) The value of the expression when $b=2$ and $c=-3$, we  get

       $-4b+8c+12-8b-2c+6$ =  $-12b++6c+18$

                                            $= -12*2+6*(-3)+18$

                                            $= -24-18+18$

                                            $=-24$

• ∴    $-4b+8c+12-8b-2c+6$ $=-24$