Simplify 2(x^2-x)+3(x^2-x)

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

Step 1

Simplify each term.

Apply the distributive property.

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

Multiply $- 1$ by $2$ .

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

Apply the distributive property.

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

Multiply $- 1$ by $3$ .

$2 x^{2} - 2 x + 3 x^{2} - 3 x$

$2 x^{2} - 2 x + 3 x^{2} - 3 x$

Step 2

Simplify by adding terms.

Add $2 x^{2}$ and $3 x^{2}$ .

$5 x^{2} - 2 x - 3 x$

Subtract $3 x$ from $- 2 x$ .

$5 x^{2} - 5 x$

$5 x^{2} - 5 x$

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