Solve Simplificationorothersimpleresults C2-8c+16 Tiger Algebra ...

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Enter an equation or problemClear Solve × Camera input is not recognized!abcaxy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Simplification or other simple results (c−4)2 (c-4)^2

Other Ways to Solve

Simplification or other simple results

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution: (1): "c2" was replaced by "c^2".

Step 1 :

Trying to factor by splitting the middle term

1.1 Factoring c2-8c+16 The first term is, c2 its coefficient is 1 .The middle term is, -8c its coefficient is -8 .The last term, "the constant", is +16 Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16 Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is -8 .

-16	+	-1	=	-17
-8	+	-2	=	-10
-4	+	-4	=	-8	That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and -4 c2 - 4c - 4c - 16Step-4 : Add up the first 2 terms, pulling out like factors : c • (c-4) Add up the last 2 terms, pulling out common factors : 4 • (c-4) Step-5 : Add up the four terms of step 4 : (c-4) • (c-4) Which is the desired factorization

Multiplying Exponential Expressions :

1.2 Multiply (c-4) by (c-4) The rule says : To multiply exponential expressions which have the same base, add up their exponents.In our case, the common base is (c-4) and the exponents are : 1 , as (c-4) is the same number as (c-4)1 and 1 , as (c-4) is the same number as (c-4)1 The product is therefore, (c-4)(1+1) = (c-4)2

Final result :

(c - 4)2

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