Problem

Multiply and simplify the following polynomials: (3x22x+1)(x2+x2)

Answer

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Answer

Combine like terms to get 3x4+x37x2+5x2

Steps

Step 1 :First, distribute each term in the first polynomial to each term in the second polynomial. That is, 3x2x2+3x2x+3x222xx22xx2x2+1x2+1x12

Step 2 :Simplify to get 3x4+3x36x22x32x2+4x+x2+x2

Step 3 :Combine like terms to get 3x4+x37x2+5x2

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