Simplify 3(x-7)+4(x^2-2x+9)

$3 (x - 7) + 4 (x^{2} - 2 x + 9)$

Step 1

Simplify each term.

Apply the distributive property.

$3 x + 3 \cdot - 7 + 4 (x^{2} - 2 x + 9)$

Multiply $3$ by $- 7$ .

$3 x - 21 + 4 (x^{2} - 2 x + 9)$

Apply the distributive property.

$3 x - 21 + 4 x^{2} + 4 (- 2 x) + 4 \cdot 9$

Simplify.

Multiply $- 2$ by $4$ .

$3 x - 21 + 4 x^{2} - 8 x + 4 \cdot 9$

Multiply $4$ by $9$ .

$3 x - 21 + 4 x^{2} - 8 x + 36$

$3 x - 21 + 4 x^{2} - 8 x + 36$

$3 x - 21 + 4 x^{2} - 8 x + 36$

Step 2

Simplify by adding terms.

Subtract $8 x$ from $3 x$ .

$- 5 x - 21 + 4 x^{2} + 36$

Simplify the expression.

Add $- 21$ and $36$ .

$- 5 x + 4 x^{2} + 15$

Reorder $- 5 x$ and $4 x^{2}$ .

$4 x^{2} - 5 x + 15$

$4 x^{2} - 5 x + 15$

$4 x^{2} - 5 x + 15$

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