Question

factorise 36m^36-49 n^14 ​

Answer 1

Step-by-step explanation:

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

         A2 - AB + BA - B2 =

         A2 - AB + AB - B2 =

         A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  36  is the square of  6 

Check : 49 is the square of 7

Check :  m36  is the square of  m18 

Check :  n14  is the square of  n7 

Factorization is :       (6m18 + 7n7)  •  (6m18 - 7n7)