how to find the product (4c-2)(c+2)

Question

 _{(4c-2)(c+2)said}

Answer 1

Use distributive law twice:

 

  ( 4c -2 ) ( c +2)

 

  (4c -2) c + 2 ( 4c -2 ) =

 

   4c^2 -2c + 8c - 4 =

  

   4 c^2 + 6c - 4 

Answer 2

When multiplying two binomials, remember the FOIL method: First terms, Outer terms, Inner terms, Last terms.

 

Step 1: First terms

Multiply 4c*c = 4c^2

 

Step 2: Outer terms

Multiply 4c*2 = 8c

 

Step 3: Inner terms

Multiply -2*c = -2c

 

Step 4: Last terms

Multiply -2*2 = -4

 

Now, once you finish FOILing, add up each new term and simplify (combine any like terms).

 

4c^2 + 8c - 2c - 4

4c^2 (+ 8c) (- 2c) - 4

4c^2 + 6c - 4

 

So your final answer will be 4c^2 + 6c - 4