What is 2x(y+3x)-3xy-5x^2+10-6x ?

The solution to 2x(y+3x)-3xy-5x^2+10-6x is x^2-xy-6x+10

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simplify 2x(y+3x)-3xy-5x^2+10-6x

simplify

2 x (y + 3 x) - 3 x y - 5 x^{2} + 10 - 6 x

x^{2} - x y - 6 x + 10

Solution steps

2 x (y + 3 x) - 3 x y - 5 x^{2} + 10 - 6 x

Expand

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

= 2 x y + 6 x^{2} - 3 x y - 5 x^{2} + 10 - 6 x

Group like terms

= 6 x^{2} - 5 x^{2} + 2 x y - 3 x y - 6 x + 10

Add similar elements:

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

= x^{2} + 2 x y - 3 x y - 6 x + 10

Add similar elements:

2 x y - 3 x y = - x y

= x^{2} - x y - 6 x + 10

(4 + 32)^{2} (4 - 32)

(m + 8) (2 m^{3} + m^{2} + 3 m)

3 - 3 x^{2} + 6 + 3 x + 1 + 4 x + 2 x

What is 2x(y+3x)-3xy-5x^2+10-6x ?
The solution to 2x(y+3x)-3xy-5x^2+10-6x is x^2-xy-6x+10