Simplify subtract 2x^2+6x-5 from 7x^2+3x+4

subtract $2 x^{2} + 6 x - 5$ from $7 x^{2} + 3 x + 4$

Step 1

Write the problem as a mathematical expression.

$7 x^{2} + 3 x + 4 - (2 x^{2} + 6 x - 5)$

Step 2

Simplify each term.

Apply the distributive property.

$7 x^{2} + 3 x + 4 - (2 x^{2}) - (6 x) - - 5$

Simplify.

Multiply $2$ by $- 1$ .

$7 x^{2} + 3 x + 4 - 2 x^{2} - (6 x) - - 5$

Multiply $6$ by $- 1$ .

$7 x^{2} + 3 x + 4 - 2 x^{2} - 6 x - - 5$

Multiply $- 1$ by $- 5$ .

$7 x^{2} + 3 x + 4 - 2 x^{2} - 6 x + 5$

Step 3

Simplify by adding terms.

Subtract $2 x^{2}$ from $7 x^{2}$ .

$5 x^{2} + 3 x + 4 - 6 x + 5$

Subtract $6 x$ from $3 x$ .

$5 x^{2} - 3 x + 4 + 5$

Add $4$ and $5$ .

$5 x^{2} - 3 x + 9$