Question

please solve it
(simplify the following using the suitable identity)
this is the question​

Answer 1

Answer:

$a^{4} - 1$

Step-by-step explanation:

Here we have,

[(a + 1)(a - 1)](a² + 1)

Now first lets solve the first two brackets.

That is,

(a + 1)(a - 1)

Now by using (a + b)(a - b) = a² - b²,

a = a. b = 1.

Therefore ( a + 1 )( a - 1) = a² - 1² = a² - 1.

Now we have,

(a² - 1)(a² + 1)

Again by using the same identity,

a = a². b = 1.

Thus we have ,

(a² + 1)(a² - 1) = (a²)² - (1)²

= $a^{4} - 1$.

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