Simplification or other simple results
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This solution deals with simplification or other simple results.
- Simplification or other simple results
Step by Step Solution
Step 1 :
Trying to factor by splitting the middle term
1.1 Factoring b2-4b+4
The first term is, b2 its coefficient is 1 .
The middle term is, -4b its coefficient is -4 .
The last term, "the constant", is +4
Step-1 : Multiply the coefficient of the first term by the constant 1 • 4 = 4
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is -4 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2
b2 - 2b - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-2)
Add up the last 2 terms, pulling out common factors :
2 • (b-2)
Step-5 : Add up the four terms of step 4 :
(b-2) • (b-2)
Which is the desired factorization
Multiplying Exponential Expressions :
1.2 Multiply (b-2) by (b-2)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (b-2) and the exponents are :
1 , as (b-2) is the same number as (b-2)1
and 1 , as (b-2) is the same number as (b-2)1
The product is therefore, (b-2)(1+1) = (b-2)2
Final result :
(b - 2)2