Question

А) (x+a)² б) (y-2)² в) (8x+3y)² б) (x²-6)² ж) (3x-5y)*(3x+5y)​

Answer 1

a) x2+2ax+a2

б) y2-4y+4

в) 64x2+48xy+9y2

б) x4-12x2+36

ж)9x2-25y2

Answer 2

To simplify the given expressions, let's expand each of them:

А) (x + a)² Expanding (x + a)² using the formula (a + b)² = a² + 2ab + b²: (x + a)² = x² + 2xa + a²

б) (y - 2)² Expanding (y - 2)² using the formula (a - b)² = a² - 2ab + b²: (y - 2)² = y² - 2y*2 + 2² = y² - 4y + 4

в) (8x + 3y)² Expanding (8x + 3y)² using the formula (a + b)² = a² + 2ab + b²: (8x + 3y)² = (8x)² + 2*(8x)*(3y) + (3y)² = 64x² + 48xy + 9y²

б) (x² - 6)² Expanding (x² - 6)² using the formula (a - b)² = a² - 2ab + b²: (x² - 6)² = (x²)² - 2*(x²)*(6) + 6² = x⁴ - 12x² + 36

ж) (3x - 5y)(3x + 5y) Expanding the given expression using the formula (a - b)(a + b) = a² - b²: (3x - 5y)*(3x + 5y) = (3x)² - (5y)² = 9x² - 25y²

These are the expanded forms of the given expressions.