Question

Find the area of the shaded region

Answer 1

31x^2 + 53x - 8



Use the FOIL method to find the area of the large rectangle. (7x - 2)(9 + 5x)

First term in each binomial: 7x * 9 = 63x
Outside terms: 7x * 5x = 35x^2
Inside terms: -2 * 9 = -18
Last term in each binomial: -2 * 5x = -10x

Now, just add them all up.

63x + 35x^2 - 8 - 10x

35x^2 + 53x - 8



Now find the area of the square.

2x * 2x = 4x^2



Now, subtract the areas.

31x^2 + 53x - 8



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