Factor the polynomial: x^{4n+1}-x*y^{4n}

Juan Hewlett

Juan Hewlett

Answered question

2021-12-11

Factor the polynomial:
x4n+1xy4n

Answer & Explanation

chumants6g

chumants6g

Beginner2021-12-12Added 33 answers

Step 1
Given,
x4n+1xy4n
Step 2
On simplification, we get
x4nx1xy4n   [xm+n=xmxn]
x4nxxy4n
x(x4ny4n)
x[(x2n)2(y2n)2]   [(am)n=amn]
x(x2n+y2n)(x2ny2n)   [a2b2=(a+b)(ab)]
x(x2n+y2n)[(xn)2(yn)2]
x(x2n+y2n)(xnyn)(xn+yn)

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