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harina [27]
3 years ago
15

A. Write an expression for the area of the shaded region.

Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

Answer:

A. 25x² - 64

B. (5x + 8)(5x - 8)

Step-by-step explanation:

A. The area of the shaded region = area of the whole large square - area of the 4 smaller squares

= (5x*5x) - 4(4*4)

Area of shaded region = 25x^2 - 64

B. The expression, 25x^2 - 64, is the difference of two perfect squares, 25x² and 64. Therefore, apply the rule of factoring difference of two perfect squares.

Thus, a^2 - b^2 = (a + b)(a - b)

Therefore, the expression of the are of the shaded region can be expressed in factored form as:

25x^2 - 64 = (5x + 8)(5x - 8)

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