Question

factorise 36a^8-121​

Answer 1

Given:

An expression 36a^8-121​

To solve:

Factorise the given expression.

Solution:

Given, expression is 36a^8-121​

It can be written as, (6a^4)² - (11)²

36a^8-121​ =  (6a^4)² - (11)²

Now, It is of the form a² - b²

i.e. a² - b² = ( a - b )( a + b )

(6a^4)² - (11)² = ( 6a^4 - 11 )(  6a^4 + 11 )

Hence,  36a^8-121​ can be factorised as ( 6a^4 - 11 )(  6a^4 + 11 ).

Answer 2

Answer:

Above is the answer by using formula (a-b)^2= a+b.a-b