We can easily solve this problem by following the given steps.
Now, we know the identity (a+b) (a-b) is
equal to (a²-b2). The given expression,
(3+√3) (3-3), fits in this identity.
We have, a = 3 and b = √3. Using the identity (a+b) (a-b) = a² - b²,
(3+√3) (3-√3) = (3)² - (√3)²
(3+√3) (3-√3)=9-3
(3+√3) (3-√3) = 6
Hence, after simplifying (3+√3) (3-√3), we get 6.
[ More identities to know: (a+b)² = a² + b²+2ab, (a-b)² = a² + b² - 2ab. We have to be careful in these types of questions regarding the sign and the identity in which the given expression fits in.]
Answers & Comments
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Step-by-step explanation:
Given,
(3+√3) (3-√3).
To find,
The simplification of (3+√3) (3-√3).
Solution,
After simplifying (3+√3) (3-√3), we will get 6.
We can easily solve this problem by following the given steps.
Now, we know the identity (a+b) (a-b) is
equal to (a²-b2). The given expression,
(3+√3) (3-3), fits in this identity.
We have, a = 3 and b = √3. Using the identity (a+b) (a-b) = a² - b²,
(3+√3) (3-√3) = (3)² - (√3)²
(3+√3) (3-√3)=9-3
(3+√3) (3-√3) = 6
Hence, after simplifying (3+√3) (3-√3), we get 6.
[ More identities to know: (a+b)² = a² + b²+2ab, (a-b)² = a² + b² - 2ab. We have to be careful in these types of questions regarding the sign and the identity in which the given expression fits in.]
Answer:
6
Step-by-step explanation:
(3+√3)(3-√3)
3^2 - (√3)^2 [a^2 - b^2= (a+b)(a-b)]
9-3
6