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Ta có : x^4+2017x^2+2016x+2017
=x^4+x^3-x^3+x^2-x^2+2017x^2+2017x-x+2017
=x^4+x^3+x^2-x^3-x^2-x+2017x^2+2017x+2017
=x^2(x^2+x+1)-x(x^2+x+1)+2017(x^2+x+1)
=(x^2+x+1)(x^2-x+2017)
Nhớ k mk nha
Ta có : x^4+2017x^2+2016x+2017
=x^4+x^3-x^3+x^2-x^2+2017x^2+2017x-x+2017
=x^4+x^3+x^2-x^3-x^2-x+2017x^2+2017x+2017
=x^2(x^2+x+1)-x(x^2+x+1)+2017(x^2+x+1)
=(x^2+x+1)(x^2-x+2017)
chúc cậu hok tốt _@
\(\left(c^2+b^2-5\right)^2-4\left(ab+2\right)^2\)
\(=\left(a^2+b^2-5-2ab-4\right)\left(a^2+b^2-5+2ab+4\right)\)
\(=\left(a^2+b^2-2ab-9\right)\left(a^2+b^2+2ab-1\right)\)
\(=\left[\left(a-b\right)^2-9\right]\left[\left(a+b\right)^2-1\right]\)
\(=\left(a-b-3\right)\left(a-b+3\right)\left(a+b-1\right)\left(a+b+1\right)\)
bạn nhóm ba số giữa vs nhau r lấy x^4+1 xong phân k ra hehe mk cx ko chắc
1/(x+2)2 -(3x-1)2=(x+2+3x-1)(x+2-3x+1)=4x(-2x+3)=-8x2+12x
2/(x4+x2)(-2x3-2x)=x2(x2+1)-2x(x2+1)=(x2+1)(x2-2x)
\(x^4+2017x^2+2016x+2017\)
\(=\left(x^4+x^2+1\right)+2016\left(x^2+x+1\right)\)
\(=\left(x^4+2x^2+1-x^2\right)+2016\left(x^2+x+1\right)\)
\(=\left[\left(x^2+1\right)-x^2\right]+2016\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left(x^2-x+1\right)+2016\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left(x^2-x+2017\right)\)
\(x^4+2017x^2+2016x+2017\)
\(=\left(x^4-x\right)+\left(2007x^2+2007x+2007\right)\)
\(=x.\left(x^3-1\right)+2007.\left(x^2+x+1\right)\)
\(=x.\left(x-1\right)\left(x^2+x+1\right)+2007.\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left(x^2-x+2007\right)\)
ko ghi lại đề nha:
=(5x2-10x)+5y2-5z
=5(x-2)+5y2-5z
mk chỉ làm đc đến đây thôi
x4+2017x2+2016x+2017
=(x2-x+2017)(x2+x+1)
đa thức <=> x4-x+2017x^2+2017x+2017=x(x^3-1)+2017(x^2+x+1)=x(x-1)(x^2+x+1)+2017(x^2+x+1)=(x^2+x+1)(x^2-x+2017)