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Shape AShape B3x? + 27x² + 4x + 83x² + 2If shape B is a square, which polynomial represents the difference of the areas of shape A and shape B?CA. 12:04 + 12.13 + 2612 + 81 + 12OB. 32x2 + 8 + 28DC.30.04 + 12 13 + 40.42 + 8 + 20OD8x2 + 8 + 12ResetNextEmentum. All right

Shape AShape B3x? + 27x² + 4x + 83x² + 2If shape B is a square, which polynomial represents-example-1
User Lippoliv
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1 Answer

16 votes
16 votes

ANSWER:


12x^4+12^3+26x^2+8x+12

Explanation:

We must calculate the area in each case and then do the subtraction, like this:


\begin{gathered} A=\mleft(3x^2+2\mright)\cdot\mleft(7x^2+4x+8\mright)=21x^4+12x^3+24x^2+14x^2+8x+16=21x^4+12x^3+38x^2+8x+16 \\ B=\mleft(3x^2+2\mright)^2=9x^4+12x^2+4 \end{gathered}

The difference would be the following:


\begin{gathered} A-B=21x^4+12x^3+38x^2+8x+16-9x^4+12x^2+4 \\ A-B=12x^4+12^3+26x^2+8x+12 \end{gathered}

User Nick Manning
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