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

The solution to expand (x^2-3xy+y^2)(2x-3y+2) is 2x^3-9x^2y+2x^2+11xy^2-6xy-3y^3+2y^2

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

expand

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

2 x^{3} - 9 x^{2} y + 2 x^{2} + 11 x y^{2} - 6 x y - 3 y^{3} + 2 y^{2}

Solution steps

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

Distribute parentheses

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

Simplify

x^{2} \cdot 2 x + x^{2} (- 3 y) + x^{2} \cdot 2 - 3 x y \cdot 2 x - 3 x y (- 3 y) - 3 x y \cdot 2 + y^{2} \cdot 2 x + y^{2} (- 3 y) + y^{2} \cdot 2 : 2 x^{3} - 9 x^{2} y + 2 x^{2} + 11 x y^{2} - 6 x y - 3 y^{3} + 2 y^{2}

= 2 x^{3} - 9 x^{2} y + 2 x^{2} + 11 x y^{2} - 6 x y - 3 y^{3} + 2 y^{2}

(4 h^{3} + 6 h^{2} + 1) - (5 h^{2} - 8 h^{4} + 6)

(x + 5)^{2}

\frac{5 ^{8}}{5 ^{10}}

\frac{5 x ^{2} - 40 x - 45}{15 x ^{2} - 195 x + 540} \cdot \frac{x ^{2} - 14 x + 40}{x ^{3} - 9 x ^{2} - 10 x}

121 - - 9 - 144 - - 16

What is expand (x^2-3xy+y^2)(2x-3y+2) ?
The solution to expand (x^2-3xy+y^2)(2x-3y+2) is 2x^3-9x^2y+2x^2+11xy^2-6xy-3y^3+2y^2