Question

factorize : 49a^2 - 36b^2

Answer 1

⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐

➡ Firstly, we have to observe the question very carefully.

➡ We can easily factorise it.

➡ 49 a² can be written as (7a)².

➡ 36 b² can also be written as (6b)².

➡ Also, we know that a²-b² = (a+b) (a-b). Thats what have we done in final step.


Ultimately, we can now proceed our factorization.

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⭐ LET US CHECK ⭐

49 a² - 36 b²

= (7a)²-(6b)²

= (7a+6b) (7a-6b) [Ans.]

➡ So, we solved it easily in short process.

➡ Hope you understands it dear............!!!!!!!!!!

✨✨✨✨ ALWAYS BE BRAINLY ✨✨✨✨

Answer 2

We will take reference of one of the common identities which is as follows:

a^2 - b^2 = ( a + b ) ( a - b ), where ' a ' and ' b ' are variables which may contain fractions, products, etc.

Hence in your question the factorisation will be done as follows:

49a ^ 2 - 36b ^ 2

=> ( 7a * 7a ) - ( 6b * 6b )

=> ( 7a ) ^ 2 - ( 6b ) ^ 2

=> ( 7a + 6b ) ( 7a - 6b )

And that is the final and correct answer with calculations :)

Therefore,

49a ^ 2 - 36b ^ 2 = ( 7a + 6b ) ( 7a - 6b )