\(\text{e) 2x^4 + 5x^3+13x^2+25x+15 }\)
  \(\text{=2x^3(x+1)+3x^2(x+1)+10x(x+1)+15(x+1) }\)
  \(\text{=(x+1)[x^2(2x+3)+5(2x+3)]}\)
  \(\text{=(x+1)(2x+3)(x^2+5)}\)

\(2x^4+5x^3+13x^2+25x+15\)

\(=2x^4+2x^3+3x^3+3x^2+10x^2+10x+15x+15\)

\(=2x^3\left(x+1\right)+3x^2\left(x+1\right)+10x\left(x+1\right)+15\left(x+1\right)\)

\(=\left(x+1\right)\left(2x^3+3x^2+10x+15\right)\)

Làm tiếp

\(=\left(x+1\right)\left[x^2\left(2x+3\right)+5\left(2x+3\right)\right]\)

\(=\left(x+1\right)\left(2x+3\right)\left(x^2+5\right)\)

\(x^3-10x^2+25x-16xy^2\)

\(=x\left(x^2-10x+25-16y^2\right)\)

\(=x\left[\left(x-5\right)^2-16y^2\right]\)

\(=x\left(x-4y-5\right)\left(x+4y-5\right)\)

p/s: chúc bạn học tốt

a: \(=x^2\left(x-y\right)+2014\left(x-y\right)=\left(x-y\right)\left(x^2+2014\right)\)

8: \(=\left(x-2y\right)\cdot x\cdot\left(x+3\right)\)

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

\(=\left(x-3\right)\left(4x+2\right)\)

=2(2x+1)(x-3)

3: \(=2\left(x+2\right)\left(25x-15-x\right)\)

\(=2\left(x+2\right)\left(24x-15\right)\)

=6(x+2)(8x-5)

\(a,=x^2-9-x^2+6x-9=6x-18\\ b,=\left(x-y\right)\left(x+y\right)-5\left(x-y\right)=\left(x+y-5\right)\left(x-y\right)\)

a,3x-6y

=3(x-2y)

b,=x^2(2/5+5x+y)

k đúng cho mk nhé bạn