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

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

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

simplify

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

- 3 x^{2} + 8 x - 7 y

Solution steps

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

Group like terms

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

Add similar elements:

3 x + 5 x = 8 x

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

- 4 x^{2} + x^{2} = - 3 x^{2}

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

Add similar elements:

- 5 y - 2 y = - 7 y

= - 3 x^{2} + 8 x - 7 y

(a + 3 b) (a - 3 b)

ln (ln (e^{e^{7}}))

(a + 1) (a - 2)

\frac{4 x ^{2}}{2 x ^{2}}

- 25 - 24

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