Write a degree of (x²+1) (x³+1)²
Answers
Answered by
3
Answer:
As,
(x2−1)2=(x3−1)2
Since,
(a−b)2=a2+b2−2ab
So, (x2−1)2=(x3−1)3
=(x2)2+12−2(x2)(1)=(x3)2+12−2(x3)(1)
=x4+1−2x2=x6+1−2x3
Taking x2 and x3 as Common in LHS and RHS respectively:-
=x2(x2−2)=x3(x2−2)
Cancelling (x2−2) on both sides :-
=x2=x3
As, there are only two numbers, 0 and 1 are the required solutions.
Alternate Method(The Beter Method) :-
Neglect the solution given above, the solution of solutions has arrived (Sarcasm) :-
(x2−1)2=(x3−1)2
=(x2−1)=(x3−1)2−−−−−−−√
=x2−1=x3−1
Cancelling 1 on both Sides :-
=x2=x3
Pretty much the same (^_^)
Hope it helps
Mark as BRAINLIST
Answered by
3
Answer:
degree is 8
hope it HELPS you
Similar questions
Math,
4 months ago
India Languages,
4 months ago
Science,
10 months ago
Social Sciences,
10 months ago
History,
1 year ago