Simplify 9(6x-2)-3(9x^2-3)

$9 (6 x - 2) - 3 (9 x^{2} - 3)$

Step 1

Simplify each term.

Apply the distributive property.

$9 (6 x) + 9 \cdot - 2 - 3 (9 x^{2} - 3)$

Multiply $6$ by $9$ .

$54 x + 9 \cdot - 2 - 3 (9 x^{2} - 3)$

Multiply $9$ by $- 2$ .

$54 x - 18 - 3 (9 x^{2} - 3)$

Apply the distributive property.

$54 x - 18 - 3 (9 x^{2}) - 3 \cdot - 3$

Multiply $9$ by $- 3$ .

$54 x - 18 - 27 x^{2} - 3 \cdot - 3$

Multiply $- 3$ by $- 3$ .

$54 x - 18 - 27 x^{2} + 9$

$54 x - 18 - 27 x^{2} + 9$

Step 2

Simplify the expression.

Add $- 18$ and $9$ .

$54 x - 27 x^{2} - 9$

Reorder $54 x$ and $- 27 x^{2}$ .

$- 27 x^{2} + 54 x - 9$

$- 27 x^{2} + 54 x - 9$

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