What is factor (x-2)(x+3)(x+2)(x-1)+3 ?

The solution to factor (x-2)(x+3)(x+2)(x-1)+3 is x^4+2x^3-7x^2-8x+15

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

factor

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

x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 15

Solution steps

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

Expand

(x - 2) (x + 3) (x + 2) (x - 1) : x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12

= x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12 + 3

Add the numbers:

12 + 3 = 15

= x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 15

y^{10} + 7 y^{5} - 8

f (x y)

(x - 1)^{3} + 1

(x - 5) (x - 5)

x^{2} + x y + z x + zy

What is factor (x-2)(x+3)(x+2)(x-1)+3 ?
The solution to factor (x-2)(x+3)(x+2)(x-1)+3 is x^4+2x^3-7x^2-8x+15