Answer:
<u><em> (-2x - 1) • (2xk + k - 2)
</em></u>
<u><em></em></u>
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
5
(——•(8x+4))+(k•(2x+1)•(2x+1))
10
Step 2 :
Multiplying Exponential Expressions :
2.1 Multiply (2x+1) by (2x+1)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (2x+1) and the exponents are :
1 , as (2x+1) is the same number as (2x+1)1
and 1 , as (2x+1) is the same number as (2x+1)1
The product is therefore, (2x+1)(1+1) = (2x+1)2
Equation at the end of step 2 :
5
(—— • (8x + 4)) + k • (2x + 1)2
10
Step 3 :
1
Simplify —
2
Equation at the end of step 3 :
1
(— • (8x + 4)) + k • (2x + 1)2
2
Step 4 :
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
8x + 4 = 4 • (2x + 1)
Equation at the end of step 5 :
2 • (2x + 1) + k • (2x + 1)2
Step 6 :
Pulling out like terms :
6.1 Pull out 2x+1
After pulling out, we are left with :
(2x+1) • ( 2 * 1 - k * (2x+1) ))
Step 7 :
Pulling out like terms :
7.1 Pull out like factors :
-2xk - k + 2 = -1 • (2xk + k - 2)
Final result :
(-2x - 1) • (2xk + k - 2)
