Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) x8 + x + 1 = (x^2+x+1)*(x^6-x^5+x^3-x^2+1)
b) x^8 + 3x^4 + 4 = (x^4-x^2+2)*(x^4+x^2+2)
\(=x^7\left(x^2+x+1\right)-\left(x-1\right)\left(x^2+x+1\right)=\left(x^2+x+1\right)\left(x^7-x+1\right).\)
TL:
\(x^9+x^8+x^7-x^3+1\)1
\(=x^7\left(x^2+x+1\right)-\left(x^3-1\right)\)
\(=x^7\left(x^2+x+1\right)-\left(x-1\right)\left(x^2+x+1\right)\)
\(=\left(x^7-x+1\right)\left(x^2+x+1\right)\)
hc tốt
\(x^8+x^4+1\)
\(=x^8+2x^4+1-x^4\)
\(=\left(x^4+1\right)^2-x^4\)
\(=\left(x^4+x^2+1\right)\left(x^4-x^2+1\right)\)
\(=\left(x^2-x+1\right)\left(x^2+x+1\right)\left(x^4-x^2+1\right)\)
\(=\left(x^2-x+1\right)\left(x^2+x+1\right)\left(x^4-x^2+1\right)\)
\(x^8+x+1\)
\(=x^8+x^7+x^6-x^7-x^6-x^5+x^5+x^4+x^3-x^4-x^3-x^2+x^2+x+1\)
\(=x^6\left(x^2+x+1\right)-x^5\left(x^2+x+1\right)+x^3\left(x^2+x+1\right)-x^2\left(x^2+x+1\right)+x^2+x+1\)
\(=\left(x^2+x+1\right)\left(x^6-x^5+x^3-x^2+1\right)\)
a) 4x2 - 17xy + 13y2
=4x2-4xy-13xy+13y2
=4x(x-y)-13y(x-y)
=(x-y)(4x-13y)
b) x8 + x4 +1
=x8+2x4+1-x4
=(x4+1)2-x4
=(x4+1-x2)(x4+1+x2)