What is simplify 4y^2-5y+(3y-7y^2)-(2y^2+6y-5) ?

The solution to simplify 4y^2-5y+(3y-7y^2)-(2y^2+6y-5) is -5y^2-8y+5

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Simplify 4y^2-5y+(3y-7y^2)-(2y^2+6y-5)

simplify

4 y^{2} - 5 y + (3 y - 7 y^{2}) - (2 y^{2} + 6 y - 5)

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

Solution steps

4 y^{2} - 5 y + (3 y - 7 y^{2}) - (2 y^{2} + 6 y - 5)

Apply rule:

a + (b + c) = a + b + c

- 5 y + (3 y - 7 y^{2}) = - 5 y + 3 y - 7 y^{2}

= 4 y^{2} - 5 y + 3 y - 7 y^{2} - (2 y^{2} + 6 y - 5)

Add similar elements:

- 5 y + 3 y = - 2 y

= 4 y^{2} - 2 y - 7 y^{2} - (2 y^{2} + 6 y - 5)

Group like terms

= - (2 y^{2} + 6 y - 5) + 4 y^{2} - 7 y^{2} - 2 y

Add similar elements:

4 y^{2} - 7 y^{2} = - 3 y^{2}

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

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

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

Add similar elements:

- 6 y - 2 y = - 8 y

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

x, 2 x - 6 = 0

\frac{( 7.5 \cdot 25 )}{2}

\frac{8}{( 24 )}

\frac{27}{16}

12 x^{3} + 9 x^{2} - 4 x - 3

What is simplify 4y^2-5y+(3y-7y^2)-(2y^2+6y-5) ?
The solution to simplify 4y^2-5y+(3y-7y^2)-(2y^2+6y-5) is -5y^2-8y+5