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
