What is (14x^3y-8x^2y+9xy)-(15x^3y-x^2y+13xy) ?

The solution to (14x^3y-8x^2y+9xy)-(15x^3y-x^2y+13xy) is -x^3y-7x^2y-4xy

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simplify (14x^3y-8x^2y+9xy)-(15x^3y-x^2y+13xy)

simplify

(14 x^{3} y - 8 x^{2} y + 9 x y) - (15 x^{3} y - x^{2} y + 13 x y)

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

Solution steps

(14 x^{3} y - 8 x^{2} y + 9 x y) - (15 x^{3} y - x^{2} y + 13 x y)

Apply rule:

(a) = a

(14 x^{3} y - 8 x^{2} y + 9 x y) = 14 x^{3} y - 8 x^{2} y + 9 x y

= 14 x^{3} y - 8 x^{2} y + 9 x y - (15 x^{3} y - x^{2} y + 13 x y)

Apply the distributive law:

- (a - b) = - a + b

- (15 x^{3} y - x^{2} y + 13 x y) = - 15 x^{3} y + x^{2} y - 13 x y

= 14 x^{3} y - 8 x^{2} y + 9 x y - 15 x^{3} y + x^{2} y - 13 x y

Group like terms

= 14 x^{3} y - 15 x^{3} y - 8 x^{2} y + x^{2} y + 9 x y - 13 x y

Add similar elements:

14 x^{3} y - 15 x^{3} y = - x^{3} y

= - x^{3} y - 8 x^{2} y + x^{2} y + 9 x y - 13 x y

Add similar elements:

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

= - x^{3} y - 7 x^{2} y + 9 x y - 13 x y

Add similar elements:

9 x y - 13 x y = - 4 x y

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

x^{2} + x + 30 = 0

\frac{4 x}{5} - x = \frac{x}{15} - \frac{8}{3}

- 12 x = 8

∣ 2 - 3 x ∣ > 3

30 + 7 x \geq 205

What is (14x^3y-8x^2y+9xy)-(15x^3y-x^2y+13xy) ?
The solution to (14x^3y-8x^2y+9xy)-(15x^3y-x^2y+13xy) is -x^3y-7x^2y-4xy