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# Take 2y^{2} - 3y - 5 from y^{3} - 6y^{2} + 5y. Select the correct answer.

y^{3} - 2y^{2} + 3y + 5

y^{3} - 4y^{2} + 2y - 5

y^{3} - 4y^{2} + 2y + 5

y^{3} - 8y^{2} + 8y + 5

**Solution:**

It is given that

We have to take 2y^{2} - 3y - 5 from y^{3} - 6y^{2} + 5y

i.e., Subtract y^{3} - 6y^{2} + 5y and 2y^{2} - 3y - 5

y^{3} - 6y^{2} + 5y - (2y^{2} - 3y - 5)

= y^{3} - 6y^{2} + 5y - 2y^{2} + 3y + 5

It can be written as

= y^{3} - 6y^{2} - 2y^{2} + 5y + 3y + 5

So we get,

= y^{3} - 8y^{2} + 8y + 5

Therefore, the correct answer is y^{3} - 8y^{2} + 8y + 5.

## Take 2y^{2} - 3y - 5 from y^{3} - 6y^{2} + 5y. Select the correct answer.

**Summary:**

Take 2y^{2} - 3y - 5 from y^{3} - 6y^{2} + 5y. The correct answer is y^{3} - 8y^{2} + 8y + 5.

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