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

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Answer:

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

The distributive property says that:

[tex]a\cdot (b+c) = a\cdot b+ a\cdot c[/tex]

Applying distributive property on the given expression, we have;

[tex]3y^3-2y[4y-y^2+3y]-[2y^2+2y-3y^3+3y][/tex]

again apply the same property we have

[tex]3y^3-8y^2+2y^3-6y^2-[2y^2+2y-3y^3+3y][/tex]

or

[tex]3y^3-8y^2+2y^3-6y^2-2y^2-2y+3y^3-3y[/tex]

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

Combine like terms;

[tex]8y^3-16y^2-5y[/tex]

Therefore, the simplified form of the given expression is,  [tex]8y^3-16y^2-5y[/tex]

Answer:

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,