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Subtract 5y^2-6y-11 from 6y^2+2y+5?

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Subtract 5y^2 - 6y - 11 from 6y^2 + 2y + 5

They are both quadratic expression

6y^2 + 2y + 5 - (5y^2 - 6y - 11)

Firtstly, use the negative sign to open the parentheses

6y^2 + 2y + 5 - 5y^2 + 6y + 11

Secondly, collect the like terms

6y^2 - 5y^2 + 2y + 6y + 5 + 11

since y^2 is common, factorize it out

y^2(6 - 5) + y(2 + 6) + 26

y^2(1) + y(8) + 26

y^2 + 8y + 26

The answer is y^2 + 8y + 26

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