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Simplify 3(x + 3) - 2x(x - 1).

March 24, 2026Mathematics

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Answer

-2x^2 + 5x + 9

5 steps

Distribute the 3 into the first set of parentheses.
$3(x+3) = 3 \times x + 3 \times 3 = 3x + 9$
Distribute the $-2x$ into the second set of parentheses.
$-2x(x-1) = -2x \times x - 2x \times (-1) = -2x^2 + 2x$
Combine the results from Step 1 and Step 2.
$3x + 9 - 2x^2 + 2x$
Group and combine like terms.
Group the $x$ terms: $3x + 2x = 5x$ .
The $x^2$ term is $-2x^2$ .
The constant term is 9.
Write the simplified expression, typically in descending powers of $x$ .
$-2x^2 + 5x + 9$

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