What is (6y^2+2y+5)-(5y^2-6y-11) ?

The solution to (6y^2+2y+5)-(5y^2-6y-11) is y^2+8y+16

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

simplify

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

y^{2} + 8 y + 16

Solution steps

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

Apply rule:

(a) = a

(6 y^{2} + 2 y + 5) = 6 y^{2} + 2 y + 5

= 6 y^{2} + 2 y + 5 - (5 y^{2} - 6 y - 11)

Apply the distributive law:

- (a - b) = - a + b

- (5 y^{2} - 6 y - 11) = - 5 y^{2} + 6 y + 11

= 6 y^{2} + 2 y + 5 - 5 y^{2} + 6 y + 11

Group like terms

= 6 y^{2} - 5 y^{2} + 2 y + 6 y + 5 + 11

Add similar elements:

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

= y^{2} + 2 y + 6 y + 5 + 11

Add similar elements:

2 y + 6 y = 8 y

= y^{2} + 8 y + 5 + 11

Add the numbers:

5 + 11 = 16

= y^{2} + 8 y + 16

x^{4} - 4 x

(x - 4)^{2} - 3

x (x^{2} - 4)

+ 3 - 2

(x - 3) (x - 3)

What is (6y^2+2y+5)-(5y^2-6y-11) ?
The solution to (6y^2+2y+5)-(5y^2-6y-11) is y^2+8y+16