1)1) (y-4)² = y² - 8y + 162) (7x+a)² = 49x² + 14ax + a²3) (5c-1)(5c+1) = 25c² - 14) (3a+2b)(3a-2b) = 9a² - 4b²
2) (a-9)² - (81 + 2a) = a² - 18a + 81 - 81 - 2a = a² - 20a
3) (2-x)² - x(x+1.5) = 4Expanding: 4 - 4x + x² - x² - 1.5x = 4Simplifying: -4x - 1.5x = 4Combining like terms: -5.5x = 4Dividing by -5.5: x = -4/5.5 = -0.727272727
4)1) x² - 49 = (x+7)(x-7)2) 25x² - 10xy + y² = (5x-y)(5x-y)
1)
1) (y-4)² = y² - 8y + 16
2) (7x+a)² = 49x² + 14ax + a²
3) (5c-1)(5c+1) = 25c² - 1
4) (3a+2b)(3a-2b) = 9a² - 4b²
2) (a-9)² - (81 + 2a) = a² - 18a + 81 - 81 - 2a = a² - 20a
3) (2-x)² - x(x+1.5) = 4
Expanding: 4 - 4x + x² - x² - 1.5x = 4
Simplifying: -4x - 1.5x = 4
Combining like terms: -5.5x = 4
Dividing by -5.5: x = -4/5.5 = -0.727272727
4)
1) x² - 49 = (x+7)(x-7)
2) 25x² - 10xy + y² = (5x-y)(5x-y)