Simplify -3(3x^2+5x+15)+13

$- 3 (3 x^{2} + 5 x + 15) + 13$

Step 1

Simplify each term.

Apply the distributive property.

$- 3 (3 x^{2}) - 3 (5 x) - 3 \cdot 15 + 13$

Simplify.

Multiply $3$ by $- 3$ .

$- 9 x^{2} - 3 (5 x) - 3 \cdot 15 + 13$

Multiply $5$ by $- 3$ .

$- 9 x^{2} - 15 x - 3 \cdot 15 + 13$

Multiply $- 3$ by $15$ .

$- 9 x^{2} - 15 x - 45 + 13$

$- 9 x^{2} - 15 x - 45 + 13$

$- 9 x^{2} - 15 x - 45 + 13$

Step 2

Add $- 45$ and $13$ .

$- 9 x^{2} - 15 x - 32$

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