Question

factorise (-x+2y-32)^2​

Answer 1

Let (x – 2y) = a

Let (x – 2y) = a∴ (x – 2y)2 = a2

Let (x – 2y) = a∴ (x – 2y)2 = a2∴ (x – 2y)2 – 12 (x – 2y) + 32

Let (x – 2y) = a∴ (x – 2y)2 = a2∴ (x – 2y)2 – 12 (x – 2y) + 32= a2 – 12a + 32

Let (x – 2y) = a∴ (x – 2y)2 = a2∴ (x – 2y)2 – 12 (x – 2y) + 32= a2 – 12a + 32= a2 – 8a – 4a + 32

Let (x – 2y) = a∴ (x – 2y)2 = a2∴ (x – 2y)2 – 12 (x – 2y) + 32= a2 – 12a + 32= a2 – 8a – 4a + 32= a(a – 8) – 4 (a – 8)

Let (x – 2y) = a∴ (x – 2y)2 = a2∴ (x – 2y)2 – 12 (x – 2y) + 32= a2 – 12a + 32= a2 – 8a – 4a + 32= a(a – 8) – 4 (a – 8)= (a – 8) (a – 4)

Let (x – 2y) = a∴ (x – 2y)2 = a2∴ (x – 2y)2 – 12 (x – 2y) + 32= a2 – 12a + 32= a2 – 8a – 4a + 32= a(a – 8) – 4 (a – 8)= (a – 8) (a – 4)= (x – 2y – 8) (x – 2y – 4)