Simplify (x^2+17x)-(3x^2+5x)

$(x^{2} + 17 x) - (3 x^{2} + 5 x)$

Step 1

Simplify each term.

Apply the distributive property.

$x^{2} + 17 x - (3 x^{2}) - (5 x)$

Multiply $3$ by $- 1$ .

$x^{2} + 17 x - 3 x^{2} - (5 x)$

Multiply $5$ by $- 1$ .

$x^{2} + 17 x - 3 x^{2} - 5 x$

$x^{2} + 17 x - 3 x^{2} - 5 x$

Step 2

Simplify by adding terms.

Subtract $3 x^{2}$ from $x^{2}$ .

$- 2 x^{2} + 17 x - 5 x$

Subtract $5 x$ from $17 x$ .

$- 2 x^{2} + 12 x$

$- 2 x^{2} + 12 x$

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