What is 6x(2x-3y)+5y(2x+y) ?

The solution to 6x(2x-3y)+5y(2x+y) is 12x^2-8xy+5y^2

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simplify 6x(2x-3y)+5y(2x+y)

simplify

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

12 x^{2} - 8 x y + 5 y^{2}

Solution steps

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

Expand

6 x (2 x - 3 y) : 12 x^{2} - 18 x y

= 12 x^{2} - 18 x y + 5 y (2 x + y)

Expand

5 y (2 x + y) : 10 x y + 5 y^{2}

= 12 x^{2} - 18 x y + 10 x y + 5 y^{2}

Add similar elements:

- 18 x y + 10 x y = - 8 x y

= 12 x^{2} - 8 x y + 5 y^{2}

24 + 6

- 8 x^{2} - 9 - 5 x^{2} + 5 x

x^{2} + 3 x - 5 x - 15

4 x + \frac{1}{4} (16 x - 20 y)

\frac{10 + 15 i}{- 2 i}

What is 6x(2x-3y)+5y(2x+y) ?
The solution to 6x(2x-3y)+5y(2x+y) is 12x^2-8xy+5y^2