Question

Factorise 12y^3-14y^2-10y

Answer 1

The factorisation of $12y^3-14y^2-10y$ is y(3y - 5)(4y + 2).

Step-by-step explanation:

We have,

$12y^3-14y^2-10y$

To find, the factorisation of $12y^3-14y^2-10y$ = ?

∴ $12y^3-14y^2-10y$

Taking y as common, we get

$=y(12y^2-14y-10)$

Splitting the middle term,

$=y(12y^2-20y+6y-10)$

$=y[4y(3y-5)+2(3y-5)]$

= y(3y - 5)(4y + 2)

∴  The factorisation of $12y^3-14y^2-10y$ = y(3y - 5)(4y + 2)

Thus, the factorisation of $12y^3-14y^2-10y$ is y(3y - 5)(4y + 2).