Factor completely : x^{2n}+6x^{n}+8

Sapewa

Sapewa

Answered question

2021-12-08

Factor completely : x2n+6xn+8

Answer & Explanation

MoxboasteBots5h

MoxboasteBots5h

Beginner2021-12-09Added 35 answers

Step 1
We have to factorize the expression:
x2n+6xn+8
Factorization is the process of taking common from the terms of the expression and that common parts are known as factor of that expression.
Factorizing by middle term splitting method
since 8=4×2
therefore,
x2n+6xn+8=x2n+4xn+2xn+8
Step 2
Now taking xn common from first two terms and 2 from last two terms,
x2n+6xn+8=x2n+4xn+2xn+8
=xn(xn+4)+2(xn+4)
=(xn+4)(xn+2)
Hence, factorization of the expression is (xn+4)(xn+2) and factors are (xn+4) and (xn+2).

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