Question

Bonjour!!✌
Please help me.....
Simplify-
$(p - 1)(p + 1)(p {}^{2} + 1)(p {}^{4} + 1)$
Don't Spam please.......❌​

Answer 1

Answer:

Hey mate!!

Here's your answer

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HOPE IT HELPS YOU ☺☺

Answer 2

Question :

Simplify

$\sf\:(p-1)(p+1)(p^2+1)(p^4+1)$

Solution :

We have to Simplify

$\rm\:(p-1)(p+1)(p^2+1)(p^4+1)$

We know that

$\sf\blue{(a+b)(a-b)=a^2-b^2}$

Then ,

$\sf\:(p-1)(p+1)(p^2+1)(p^4+1)$

$\sf=(p^2-1^2)(p^2+1)(p^4+1)$

$\sf=(p^2-1)(p^2+1)(p^4+1)$

Again use the formula , (a+b)(a-b)=a²-b²

$\sf=[(p^2)^2-(1^2)^2](p^4+1)$

$\sf=(p^4-1)\:(p^4+1)$

Again use the formula , (a+b)(a-b)=a²-b²

$\sf=[(p^4)^2-(1^4)^2]$

$\sf=(p^8-1)$

It is the required solution !

More Formula's Related to the topic :

$\sf1)\:a^2-b^2=(a+b)(a-b)$

$\sf2)\:(a+b)^2=a^2+b^2+2ab$

$\sf3)\:(a-b)^2=a^2+b^2-2ab$

$\sf\:4)\:(x+a)(x-b)=x^2+x(a-b)-ab$