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makkiz [27]
3 years ago
13

Which polynomial is equivalent to (z+3)^2

Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Answer:

z-3/z+3-z-9/z2+3z

Final result :

 3 • (z3 + z2 - z - 3)

 ———————————

          z2          

Step-by-step explanation:

Step  1  :

            9

Simplify   ——

           z2

Equation at the end of step  1  :

       3         9

 ((((z-—)+3)-z)-——)+3z

       z        z2

Step  2  :

           3

Simplify   —

           z

Equation at the end of step  2  :

          3                  9    

 ((((z -  —) +  3) -  z) -  ——) +  3z

          z                 z2    

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  z  as the denominator :

         z     z • z

    z =  —  =  ——

         1       z  

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Solving  r^2-8r+9 by completing a square gives (r+4)^2-7

Step-by-step explanation:

We need to solve the equation r^2-8r+9 by completing a square

The completing a square method requires: a^2\pm 2ab +b^2=(a\pm b)^2

Solving:

r^2-8r+9\\=(r)^2-2(r)(?)+(?)^2+9

We need to add and subtract (4)^2=16 to make the equation a complete square

=(r)^2-2(r)(4)+(4)^2-(4)^2+9\\=(r)^2-2(r)(4)+(4)^2-16+9\\=(r)^2-2(r)(4)+(4)^2-7\\=(r+4)^2-7

So, Solving  r^2-8r+9 by completing a square gives (r+4)^2-7

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Answer:

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

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Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

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