Problem

Expand and simplify the expression (3x22x+1)(2x2+x3)

Answer

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Answer

Combine like terms: 6x4x39x2+7x3

Steps

Step 1 :Firstly, we must distribute each term in the first polynomial to every term in the second polynomial. This gives us: 3x22x2+3x2x+3x232x2x22xx2x3+12x2+1x13

Step 2 :This simplifies to: 6x4+3x39x24x32x2+6x+2x2+x3

Step 3 :Combine like terms: 6x4x39x2+7x3

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