factorize : 49a^2 - 36b^2
Answers
Answered by
21
⭐⭐⭐⭐ 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.
==================================
⭐ 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 ✨✨✨✨
➡ 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.
==================================
⭐ 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 ✨✨✨✨
user53:
thankyou so much
Answered by
9
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 )
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