Each figure is composed of large squares and small squares. The side length of the large square is x. Write an expression for the area of the shaded part of each figure.
Figure A
Figure B

** Please help!!

9514 1404 393

  A.  x² -4

  B.  2x² +8

Step-by-step explanation:

The area of the larger square is the square of its side length, so is x².

A. The area of each of the smaller squares is 1² = 1. There are 4 of them, so their total area is 4×1 = 4. The shaded area is that much less than the area of the larger square, so is ...

  x² - 4

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B. The smaller squares have side length 2, so their area is 2² = 4. There are two of them, so the total area of the smaller squares is 2×4 = 8.

The two large squares have a total area of ...

  2 · x² = 2x²

So, the total shaded area is ...

  2x² + 8