Question

Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.

y3 - 2y2 + 3y + 5
y3 - 4y2 + 2y - 5
y3 - 4y2 + 2y + 5
y3 - 8y2 + 8y + 5

Answer 1

y3-8y2+8y+5

Let me know if this is correct please.

Answer 2

y3-8y2+8y+5

Explanation:

Taking 2y2-3y-5 from y3-6y2+5y means that 2y2-3y-5 is to be subtracted from y3-6y2+5y

This can be expressed in the form;

(y3-6y2+5y)-(2y2-3y-5)

1. Open the brackets

y3-6y2+5y-2y2+3y+5,

2. Collect all the like terms; (y3), (-6y2-2y2), (5y+3y), (5)

3. Summation of all the like terms

y3+(-6y2-2y2)+(5y+3y)+(5)=y3-8y2+8y+5

The answer is y3-8y2+8y+5