Question

Phân tích đa thức thành nhân tử:

a) \(3x^2+2x-1\)

b) \(x^3+6x^2+11x+6\)

c) \(x^4+2x^2-3\)

d) \(ab+ac+b^2+2bc+c^2\)

e) \(a^3-b^3+c^3+3abc\)

f) \(5x^3+15x^2+10x\)

g) \(9x^2+90x+225-\left(x-7\right)^2\)

h) \(4x^4-21x^2y^2+y^4\)

i) \(4\left(x+5\right)\left(x+6\right)\left(x+10\right)\left(x+12\right)-3x^2\)

Answer 1

a: \(=3x^2+3x-x-1\)

=(x+1)(3x-1)

b: \(=x^3+x^2+5x^2+5x+6x+6\)

\(=\left(x+1\right)\left(x^2+5x+6\right)\)

\(=\left(x+1\right)\left(x+2\right)\cdot\left(x+3\right)\)

c: \(=x^4+3x^2-x^2-3\)

\(=\left(x^2+3\right)\left(x^2-1\right)\)

\(=\left(x^2+3\right)\left(x-1\right)\left(x+1\right)\)

f: \(=5x\left(x^2+3x+2\right)\)

=5x(x+1)(x+2)