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Ann [662]
3 years ago
13

I need help please help me out I dont understand

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

24x² - 46x + 7

Step-by-step explanation:

Area of the shaded region = area of the larger square - area of the smaller square

✔️Area of the larger square = s²

= (5x - 4)²

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

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

= 25x² - 20x - 20x + 16

= 25x² - 40x + 16

✔️Area of smaller square = s²

= (x + 3)² = (x + 3)(x + 3)

= x(x + 3) +3(x + 3)

= x² + 3x + 3x + 9

= x² + 6x + 9

✔️Area of the shaded region = (25x² - 40x + 16) - (x² + 6x + 9)

= 25x² - 40x + 16 - x² - 6x - 9 (distributive property)

Ad like terms

= 24x² - 46x + 7

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