Question

Find a common factor for 3y^3+2y^2 and 6y^4+4y^3​

Answer 1

Answer:

$3y + 2$

Step-by-step explanation:

We want to find a common factor for

$3 {y}^{3} + 2 {y}^{2}$

and

$6 {y}^{4} + 4 {y}^{3}$

We factor each of them to get;

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

and

$6 {y}^{4} + 4 {y}^{3} = 2 {y}^{3} (3y + 2)$

We can observe now that;

The factor common to both expression is

$3y + 2$