Question

If shape B is a square, which polynomial represents the difference of the areas of shape A and shape B?

Answer 1

Answer:

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

Step-by-step explanation:

since, shape B is a square.

area = l*b = (3x^2 +2)(3x^2 + 2)

= 9x^4 + 6x^2 + 6x^2 +4

=9 x^4 +12 x^2 + 4

area of shape A,

3x^2 +2 * 7x^2 +4x +8 = 21 x^4 + 12x^3 + 24x^2 + 14x^2 + 8x + 16

= 21 x^4 + 12x^3 + 38x^2 + 8x + 16

difference = (21-9 )x^4 +12 x^3+(38-12)x^2 + 8x +(16-4)

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