What is factor x^2+3xy+3x^3+y ?

The solution to factor x^2+3xy+3x^3+y is (3x+1)(x^2+y)

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factor x^2+3xy+3x^3+y

factor

x^{2} + 3 x y + 3 x^{3} + y

(3 x + 1) (x^{2} + y)

Solution steps

x^{2} + 3 x y + 3 x^{3} + y

Group by common factors

= 3 x^{3} + x^{2} + 3 x y + y

= (3 x^{3} + x^{2}) + (3 x y + y)

Factor out

x^{2}

from

3 x^{3} + x^{2} : x^{2} (3 x + 1)

Factor out

y

from

3 x y + y : y (3 x + 1)

= x^{2} (3 x + 1) + y (3 x + 1)

Factor out common term

3 x + 1

= (3 x + 1) (x^{2} + y)

x + 5 \geq 10

\frac{e ^{2 t}}{e ^{t}}

1 - \frac{1}{75} x^{2} = 0

\frac{9}{2} - 4

- 117 - f \leq - 31

What is factor x^2+3xy+3x^3+y ?
The solution to factor x^2+3xy+3x^3+y is (3x+1)(x^2+y)