a. \(x^4+x^3+2x^2+x+1\)
b . \(x^3+2x^3+2x+1\)
c. \(x^3-4x^2+12x-27\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(2x\left(x-7\right)+5\left(x-7\right)=0\)
\(\Leftrightarrow\left(2x+5\right)\left(x-7\right)=0\)
\(\Leftrightarrow x=\frac{-5}{2},x=7\)
a) \(ax^3-3ax^2+3ax-a\)
\(=a\left(x^3-1\right)-3ax\left(x-1\right)\)
\(=a\left(x-1\right)\left(x^2+x+1\right)-3ax\left(x-1\right)\)
\(=\left(x-1\right)\left(ax^2+ax+a-3ax\right)\)
\(=\left(x-1\right)\left(ax^2+a-2ax\right)\)
a) \(xy+y^2+x+y\)
\(=y\left(x+y\right)+\left(x+y\right)\)
\(=\left(y+1\right)\left(x+y\right)\)
b) \(x^2-3x+xy-3y\)
\(=x\left(x-3\right)+y\left(x-3\right)\)
\(=\left(x+y\right)\left(x-3\right)\)
B = x15 - 8x14 + 8x13 - 8x2 + ... - 8x2 + 8x - 5
B = x^15 - 7x^14 -x^14+7x^13+x^13-7x^12-...-x^2+7x+x-5
B = x^14(x-7) - x^14(x-7) +...+x^2(x-7)-x(x-7)+x-5
B = 7-5=2
khoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooong
a) \(x^4+x^3+2x^2+x+1\)
\(=\left(x^4+x^3+x^2\right)+\left(x^2+x+1\right)\)
\(x^2\left(x^2+x+1\right)+\left(x^2+x+1\right)=\left(x^2+1\right)\left(x^2+x+1\right)\)
c) \(\left(x^3-27\right)-4x\left(x-3\right)=\left(x-3\right)\left(x^2-x+9\right)\)