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 term
3.2Factoring 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.
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