Help with algebra???

Question

2x^3+10x^2+10x

i need to factor that

Answer 1

2x^3+10x^2+10x

2x[x^2+ 5x + 5]

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making difference of square>

compare with ax^2 + bx + c'

c' = b^2/4a = [5]^2/4*1 = 25/4 adding/subtracting this

square of [x +b/2a] = [x + 5/2]^2

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2x[x^2+ 5x + {25/4 + 5 -25/4}]

2x[{x + 5/2}^2 - 5/4]

2x[{x + 5/2}^2 - {root5/2}^2]

2x {x + 5/2 + root5/2} {x + 5/2 - root5/2}

2x [x + (5+root5)/2] [x + (5 - root5)/2]

Answer 2

a common factor of all the numbers if 2x

so you can factor out the 2x

2x(x^2+5x+x)