## Step 1 :

Equation in ~ the finish of step 1 : ((0 - 24x2) - 40x) - 25## Step 2 :

## Step 3 :

Pulling out prefer terms :3.1 traction out choose factors:-16x2 - 40x - 25=-1•(16x2 + 40x + 25)Trying to factor by separating the middle term3.2Factoring 16x2 + 40x + 25 The first term is, 16x2 that is coefficient is 16.The center term is, +40x its coefficient is 40.The last term, "the constant", is +25Step-1 : main point the coefficient the the an initial term by the constant 16•25=400Step-2 : discover two factors of 400 whose sum equates to the coefficient the the middle term, i m sorry is 40.

-400 | + | -1 | = | -401 | ||

-200 | + | -2 | = | -202 | ||

-100 | + | -4 | = | -104 | ||

-80 | + | -5 | = | -85 | ||

-50 | + | -8 | = | -58 | ||

-40 | + | -10 | = | -50 | ||

-25 | + | -16 | = | -41 | ||

-20 | + | -20 | = | -40 | ||

-16 | + | -25 | = | -41 | ||

-10 | + | -40 | = | -50 | ||

-8 | + | -50 | = | -58 | ||

-5 | + | -80 | = | -85 | ||

-4 | + | -100 | = | -104 | ||

-2 | + | -200 | = | -202 | ||

-1 | + | -400 | = | -401 | ||

1 | + | 400 | = | 401 | ||

2 | + | 200 | = | 202 | ||

4 | + | 100 | = | 104 | ||

5 | + | 80 | = | 85 | ||

8 | + | 50 | = | 58 | ||

10 | + | 40 | = | 50 | ||

16 | + | 25 | = | 41 | ||

20 | + | 20 | = | 40 | That"s it |

Step-3 : Rewrite the polynomial splitting the middle term making use of the two determinants found in step2above, 20 and also 2016x2 + 20x+20x + 25Step-4 : include up the very first 2 terms, pulling out choose factors:4x•(4x+5) include up the critical 2 terms, pulling out typical factors:5•(4x+5) Step-5:Add increase the four terms the step4:(4x+5)•(4x+5)Which is the wanted factorization

Multiplying Exponential Expressions:3.3 multiply (4x+5) by (4x+5)The rule says : To multiply exponential expression which have the same base, include up your exponents.In our case, the typical base is (4x+5) and the index number are:1,as(4x+5) is the exact same number together (4x+5)1and1,as(4x+5) is the same number as (4x+5)1The product is therefore, (4x+5)(1+1) = (4x+5)2