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

The solution to 5(x^2-y^2)+x(y-3x)-4y(2x+7y) is 2x^2-33y^2-7xy

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simplify 5(x^2-y^2)+x(y-3x)-4y(2x+7y)

simplify

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

2 x^{2} - 33 y^{2} - 7 x y

Solution steps

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

Expand

5 (x^{2} - y^{2}) : 5 x^{2} - 5 y^{2}

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

Expand

x (y - 3 x) : x y - 3 x^{2}

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

Expand

- 4 y (2 x + 7 y) : - 8 x y - 28 y^{2}

= 5 x^{2} - 5 y^{2} + x y - 3 x^{2} - 8 x y - 28 y^{2}

Group like terms

= 5 x^{2} - 3 x^{2} - 5 y^{2} - 28 y^{2} + x y - 8 x y

Add similar elements:

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

= 2 x^{2} - 5 y^{2} - 28 y^{2} + x y - 8 x y

Add similar elements:

- 5 y^{2} - 28 y^{2} = - 33 y^{2}

= 2 x^{2} - 33 y^{2} + x y - 8 x y

Add similar elements:

x y - 8 x y = - 7 x y

= 2 x^{2} - 33 y^{2} - 7 x y

(4 x - 3) (4 x + 2)

(\frac{2 x}{6}) + (\frac{5}{3 x})

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

\frac{x}{x ^{4} ( x - 2 )} - \frac{x + 9}{x ^{2} ( x - 2 ) ^{3}}

sin^{2} (θ) - 1

What is 5(x^2-y^2)+x(y-3x)-4y(2x+7y) ?
The solution to 5(x^2-y^2)+x(y-3x)-4y(2x+7y) is 2x^2-33y^2-7xy