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

The solution to expand (2x^2+3xy-y^2)(x+3) is 2x^3+6x^2+3x^2y+9xy-xy^2-3y^2

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expand (2x^2+3xy-y^2)(x+3)

expand

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

2 x^{3} + 6 x^{2} + 3 x^{2} y + 9 x y - x y^{2} - 3 y^{2}

Solution steps

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

Distribute parentheses

= 2 x^{2} x + 2 x^{2} \cdot 3 + 3 x y x + 3 x y \cdot 3 - y^{2} x - y^{2} \cdot 3

Simplify

2 x^{2} x + 2 x^{2} \cdot 3 + 3 x y x + 3 x y \cdot 3 - y^{2} x - y^{2} \cdot 3 : 2 x^{3} + 6 x^{2} + 3 x^{2} y + 9 x y - x y^{2} - 3 y^{2}

= 2 x^{3} + 6 x^{2} + 3 x^{2} y + 9 x y - x y^{2} - 3 y^{2}

(x^{2} + 2 x + 5) - (- 2 x^{2} + 6)

(- 5 x^{2} + 5 x - 5) - (3 x^{2} + x)

(10 x^{2} + 8 x - 5) - (- 9 x^{2} - 3 x - 4)

(- 6 x^{2} + 3 x) + (- x + 6)

(- 2 x^{2} + 3 x - 4) - (- x^{2} + 4 x - 4)

What is expand (2x^2+3xy-y^2)(x+3) ?
The solution to expand (2x^2+3xy-y^2)(x+3) is 2x^3+6x^2+3x^2y+9xy-xy^2-3y^2