What is (x-3y)-(5y-2x^2+4x-8) ?

The solution to (x-3y)-(5y-2x^2+4x-8) is 2x^2-3x-8y+8

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simplify (x-3y)-(5y-2x^2+4x-8)

simplify

(x - 3 y) - (5 y - 2 x^{2} + 4 x - 8)

2 x^{2} - 3 x - 8 y + 8

Solution steps

(x - 3 y) - (5 y - 2 x^{2} + 4 x - 8)

Apply rule:

(a) = a

(x - 3 y) = x - 3 y

= x - 3 y - (5 y - 2 x^{2} + 4 x - 8)

Apply the distributive law:

- (a - b) = - a + b

- (5 y - 2 x^{2} + 4 x - 8) = - 5 y + 2 x^{2} - 4 x + 8

= x - 3 y - 5 y + 2 x^{2} - 4 x + 8

Add similar elements:

- 3 y - 5 y = - 8 y

= x - 8 y + 2 x^{2} - 4 x + 8

Group like terms

= 2 x^{2} + x - 4 x - 8 y + 8

Add similar elements:

x - 4 x = - 3 x

= 2 x^{2} - 3 x - 8 y + 8

- 5 \cdot 11

- 5 \cdot 12

3 x + 6 x + 8 x - 8 x + 7 x - 12 x + 6 x - 4 x + 5 x

- 2 7^{2}

\frac{25}{45} - \frac{2}{9}

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