Modeling Polynomials

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(x+1)^2

 

=(x+1)(x+1)

 

=x^2+2x+1

 

For the expansion of  (x+1)^2  ,I multiplied  (x+1)  by itself twice, then used the distributive property to simplify my expression.

 

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(x-1)^2

 

=(x-1)(x-1)

 

=x^2-2x+1

 

For the expansion of  (x-1)^2   ,I multiplied  (x-1)  by itself twice, then used the distributive property to  simplify my expression.

 

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(x+1)(x-1)

 

=x^2-x+x-1

 

=x^2-1

 

For the simplified expression of  (x+1)(x-1) ,I started off by distributing the variables in both of the brackets, combined the like terms, and came up with the simplified expression.

 

(x-1)^3  wasn’t possible to model with the tiles I had. I could only solve this algebraically.

=(x-1)^3

 

Formula for  (a-b)^3

a^3-3a^2b+3ab^2-b^3

 

Therefore,

(x-1)^3

 

=x^3-3x^2+3x-1

 

 

 

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