What is factor (x+3)^2(x+4)+(x-1)x ?

The solution to factor (x+3)^2(x+4)+(x-1)x is x^3+11x^2+32x+36

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factor (x+3)^2(x+4)+(x-1)x

factor

(x + 3)^{2} (x + 4) + (x - 1) x

x^{3} + 11 x^{2} + 32 x + 36

Solution steps

(x + 3)^{2} (x + 4) + (x - 1) x

= (x + 3)^{2} (x + 4) + x (x - 1)

(x + 3)^{2} : x^{2} + 6 x + 9

= (x^{2} + 6 x + 9) (x + 4) + (x - 1) x

Expand

(x^{2} + 6 x + 9) (x + 4) : x^{3} + 10 x^{2} + 33 x + 36

= x^{3} + 10 x^{2} + 33 x + 36 + (x - 1) x

Expand

x (x - 1) : x^{2} - x

= x^{3} + 10 x^{2} + 33 x + 36 + x^{2} - x

Simplify

x^{3} + 10 x^{2} + 33 x + 36 + x^{2} - x : x^{3} + 11 x^{2} + 32 x + 36

= x^{3} + 11 x^{2} + 32 x + 36

112

0.25 x^{3} - 4 x - 0.25 x^{2} + 4

10 c h - 35 c h

3 a + 3 b + a v + b v

(x + y)^{2} - (x + y) - 2

What is factor (x+3)^2(x+4)+(x-1)x ?
The solution to factor (x+3)^2(x+4)+(x-1)x is x^3+11x^2+32x+36