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

The solution to expand-3(2x+3y)(3x-5y) is -18x^2+3xy+45y^2

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expand-3(2x+3y)(3x-5y)

expand

- 3 (2 x + 3 y) (3 x - 5 y)

- 18 x^{2} + 3 x y + 45 y^{2}

Solution steps

- 3 (2 x + 3 y) (3 x - 5 y)

Expand

- 3 (2 x + 3 y) (3 x - 5 y) : - 3 (6 x^{2} - x y - 15 y^{2})

= - 3 (6 x^{2} - x y - 15 y^{2})

Apply the distributive law:

m (a + b + c) = ma + mb + m c

- 3 (6 x^{2} - x y - 15 y^{2}) = - 3 \cdot 6 x^{2} - 3 (- x y) - 3 (- 15 y^{2})

= - 3 \cdot 6 x^{2} - 3 (- x y) - 3 (- 15 y^{2})

Simplify

- 3 \cdot 6 x^{2} - 3 (- x y) - 3 (- 15 y^{2}) : - 18 x^{2} + 3 x y + 45 y^{2}

= - 18 x^{2} + 3 x y + 45 y^{2}

25 x^{11}

200 - 32

- \frac{5}{2} - 4

- 6^{- 4}

a^{2} - 400

What is expand-3(2x+3y)(3x-5y) ?
The solution to expand-3(2x+3y)(3x-5y) is -18x^2+3xy+45y^2