Question

(a + 1) ( a - 1) + 1​

Answer 1

Answer:

The solution for (a + 1) ( a - 1) + 1 is a²

Step-by-step explanation:

= (a + 1) ( a - 1) + 1

as we know  the identity,                                       [ (a+b) (a-b)= a² - b²]

= a² - 1² + 1

= a²

Answer 2

Answer:

The required value will be (a + 1) ( a - 1) + 1​ $=a^{2}$

Step-by-step explanation:

As per the data in given equation

In above question it is given that

We have find the value of given expression

Given the data in question (a + 1) ( a - 1) + 1​

As the given equation is in form of $(a+b)(a-b)$

So, for finding the value of the expression we will first multiply "a" with "c" and a with  "d" and then multiply "b" with "c" and b with "d", and then add the resultant value.

So, value of expression we will be

$ac-ad+bc-bd$

$(a+1)(a-1)+1=(a\times a)-(a\times 1)+(1\times a)-(1\times 1)+1\\a^{2} -1a+1a-1+1$

Negative -1a and positive +1a are cancel

and negative -1 and positive+1 are cancel

Simplifying further we get,

$a^{2}$

Hence required value will be (a + 1) ( a - 1) + 1​ $=a^{2}$