Question

Factorise (5a _3b) 2 + 8(5a _3b)+16

Answer 1

Need to fatorise

(5a - 3b)² + 8(5a - 3b) + 16

for simplicity , lets say 5a-3b = x

⇒ x² + 8x + 16

⇒   x² + 4x + 4x  + 16

⇒ (x + 4) ( x + 4)

⇒ (x + 4 )²

Now substitute proper value of x

⇒( (5a-b) +4) ²

⇒ (5a - b + 4 )²

hence on factorizing  (5a - 3b)² + 8(5a - 3b) + 16  we get (5a - b + 4 )²