Question

factorise : m^2-8mn+16n^2-49p^2​

Answer 1

Answer:

(m-11n) (m+4n)

Step-by-step explanation:

m²-8mn +16n²-49p²

By the formula (a-b)²= a²+b²-2ab

(m²)+(4n)²-4n×1m×2 -49n²

= (m-4n)² - (7n)²

By inserting the formula of (a²-b²) = (a-b) (a+b)

= (m-4n-7n) (m-4n+7n)

= (m-11n) (m+4n) is the answer