Question

a) \(x^2-5x+6\)

b) \(3x^2+9x-30\)

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

Answer 1

a) \(x^2-5x+6=x^2-2x-3x+6\)

\(=x.\left(x-2\right)-3.\left(x-2\right)\)

\(=\left(x-3\right).\left(x-2\right)\)

b) \(3x^2+9x-30=3.\left(x^2+3x-10\right)\)

\(=3.\left(x^2-2x+5x-10\right)\)

\(=3.\left[x.\left(x-2\right)+5.\left(x-2\right)\right]\)

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

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

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

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

Chúc bạn học tốt !!