" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
1. ((1/2)x + 4)² = ((1/2)x + 4 ) x ((1/2)x + 4)= ((1/2)x.(1/2)x) + (1/2)x.4 + (1/2)x.4 + 4.4
= ((1.1)/(2.2))x¹⁺¹ + (4/2)x + (4/2)x + 16 = (1/4)x² + 2x + 2x + 16
= (1/4)x² + 4x + 16
3. ((1/4)x - 8)² = ((1/4)x - 8) x ((1/4)x - 8)
= ((1/4)x.(1/4)x) + ((1/4)x.(-8)) + ((-8).(1/4)x) + ((-8).(-8))
= ((1.1)/(4.4))x¹⁺¹ + (-8/4)x + (-8/4)x + 64
= (1/4)x² + (-2x) + (-2x) + 64 = (1/4)x² - 2x - 2x + 64
= (1/4)x² - 4x + 64
5. (4p + 6)² = (4p + 6).(4p + 6) = (4p.4p) + (4p.6) + (6.4p) + 6.6
= (4.4)p¹⁺¹ + 24p + 24p + 36 = 16p² + 48p + 36
7. (9a - 3)² = (9a - 3).(9a-3) = (9a.9a) + (9a.(-3)) + ((-3).9a) + ((-3).(-3))
= (9.9)a¹⁺¹+ (-27a) + (-27a) + 9 = 81a² - 27a - 27a + 9
= 81a² - 54a + 9
9. (5a - 8b)² = (5a - 8b).(5a - 8b)
= (5a.5a) + (5a.(-8b)) + ((-8b).5a) + ((-8b).(-8b))
= (5.5)a¹⁺¹ + (5.(-8))ab + ((-8).5)ab + ((-8).(-8))b¹⁺¹
= 25a² + (-40)ab + (-40)ab + 64b² = 25a² - 40ab - 40ab + 64b²
= 25a² - 80ab + 64b²