Question

x^3-2x^2+x

x^2-2x-15

Answer 1

a) \(x^3-2x^2+x\)

\(=x\left(x^2-2x+1\right)\)

\(=x\left(x^2-x-x+1\right)\)

\(=x\left[\left(x^2-x\right)-\left(x-1\right)\right]\)

\(=x\left[x\left(x-1\right)-\left(x-1\right)\right]\)

\(=x\left(x-1\right)\left(x-1\right)\)

\(=x\left(x-1\right)^2\)

b) \(x^2-2x-15\)

\(=x^2-5x+3x-15\)

\(=\left(x^2-5x\right)+\left(3x-15\right)\)

\(=x\left(x-5\right)+3\left(x-5\right)\)

\(=\left(x-5\right)\left(x+3\right)\)

Answer 2

\(x^3-2x^2+x\)

\(=x\left(x^2-2x+1\right)\)

\(=x\left(x-1\right)^2\)

\(x^2-2x-15\)

\(=\left(x^2-5x\right)+\left(3x-15\right)\)

\(=\left(x-5\right)\left(x+3\right)\)

Answer 3

1,\(C_1:x^3-2x^2+x\)

\(=x\left(x^2-2x+1\right)\)

\(=x\left(x-1\right)^2\)

\(C_2:x^3-2x^2+x\)

\(=x^3-x^2-x^2+x\)

\(=x^2\left(x-1\right)-x\left(x-1\right)\)

\(=\left(x-1\right)\left(x^2-x\right)\)

\(=x\left(x-1\right)\left(x-1\right)\)

\(=x\left(x-1\right)^2\)

\(2,x^2-2x-15\)

\(=\left(x^2-2x+1\right)-16\)

\(=\left(x-1\right)^2-4^2\)

\(=\left(x-1-4\right)\left(x-1+4\right)\)

\(=\left(x-5\right)\left(x+3\right)\)

Cần C2 thì bảo mk

Answer 4

x³ - 2x² + x = x (x² - 2x + 1) = x (x - 1)²

​x² - 2x - 15 = (x² - 2x +1) - 16 = (x - 1)² - 4² = (x - 1 - 4)(x - 1 + 4) = (x - 5)(x + 3)

Answer 5

a, x³- 2x²+x

= x( x²+ 2x + 1)

= x(x+1)²

b, x²-2x-15

=x²+3x-5x-15

= x(x+3) - 5(x+3)

= (x+3)(x-5)

Answer 6

\(x^3-2x^2+x=x\left(x^2-2x.1+1\right)=x\left(x-1\right)^2\) \(x^2-2x-15=x^2-2x+1-16=\left(x-1\right)^2-4^2=\left(x-1+4\right)\left(x-1-4\right)=\left(x+3\right)\left(x-5\right)\)