Question

Select the correct answer from the drop-down menu. Simplify the expression. 3y3 – 2y[4y – y(y – 3)] – [2y(y + 1) – 3y(y2 –1)] =

Answer 1

Given the expression:

The distributive property says that:

Applying distributive property on the given expression, we have;

again apply the same property we have

or

Like terms are those terms which have same variables to the same power.

Combine like terms;

Therefore, the simplified form of the given expression is,

Answer 2

Given the expression:
`3y^3-2y[4y-y(y-3)]-[2y(y+1)-3y(y^2-1)]`

The distributive property says that:

`a\cdot (b+c) = a\cdot b+ a\cdot c`

Applying distributive property on the given expression, we have;

`3y^3-2y[4y-y^2+3y]-[2y^2+2y-3y^3+3y]`

again apply the same property we have

`3y^3-8y^2+2y^3-6y^2-[2y^2+2y-3y^3+3y]`

or

`3y^3-8y^2+2y^3-6y^2-2y^2-2y+3y^3-3y`

Like terms are those terms which have same variables to the same power.

Combine like terms;

`8y^3-16y^2-5y`

Therefore, the simplified form of the given expression is,
`8y^3-16y^2-5y`