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

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

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

simplify

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

- y^{2} - 8 y - 16

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 6 y - 2 y = - 8 y

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

Subtract the numbers:

- 11 - 5 = - 16

= - y^{2} - 8 y - 16

\frac{2 - i 3}{2 + i 3}

\frac{1}{6} \div 3

\frac{\frac{x - 8}{x ^{2} - 2 x}}{\frac{3 x ^{2} - 24 x}{3 x ^{2}}}

7 x + 4^{2} - [1 0^{2} + 5 (2 x - 3) + 7 (2 x - 1)]

- 225

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