Question

Consider these shapes.Shape AShape B3x + 27x² + 4x + 83x + 2If shape B is a square, which polynomial represents the difference of the areas of shape A and shape B?Ο Α.12 x 4 + 12x3 + 26x2 + 8 + 12OB. 32c2 +81 + 28OC. 30x4 + 12x3 + 40r2 + 8 + 20OD.8.72 +81 + 12021 Edmentum. All rights reserved

Answer 1

Given:

`\begin{gathered} \text{length(l)}=7x^2+4x+8 \\ \text{breadth (b)=}3x^2+2 \\ \text{side(s)}=3x^2+2 \end{gathered}`

Difference equation of area of shape A and shape B.

`(7x^2+4x+8)(3x^2+2)-(3x^2+2)(3x^2+2)`
`=21x^4+14x^2+12x^3+8x+24x^2+16-9x^4-6x^2-6x^2-4`
`=12x^4+12x^3+26x^2+8x+12`

Option A is the correct answer,