What is 2x(2x-3)-3x(x-2) ?

The solution to 2x(2x-3)-3x(x-2) is x^2

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simplify 2x(2x-3)-3x(x-2)

simplify

2 x (2 x - 3) - 3 x (x - 2)

x^{2}

Solution steps

2 x (2 x - 3) - 3 x (x - 2)

Expand

2 x (2 x - 3) : 4 x^{2} - 6 x

= 4 x^{2} - 6 x - 3 x (x - 2)

Expand

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

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

Group like terms

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

Add similar elements:

4 x^{2} - 3 x^{2} = x^{2}

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

Add similar elements:

- 6 x + 6 x = 0

= x^{2}

\frac{x + 2}{x ^{2} + 7 x + 10}

\frac{y ^{2} d y}{y ^{2} + 4}

\frac{1}{cot ( x )}

4 x - x y + 8 - 2 y

27 p^{3} - 8 q^{3}