Finite Math Examples

$5 x^{2} - 7 x - 1 + (2 x^{2} - 3 x + 5) + (- x^{2} + 4 x + 3)$

Step 1

Remove parentheses.

$5 x^{2} - 7 x - 1 + 2 x^{2} - 3 x + 5 - x^{2} + 4 x + 3$

Step 2

Add $5 x^{2}$ and $2 x^{2}$ .

$7 x^{2} - 7 x - 1 - 3 x + 5 - x^{2} + 4 x + 3$

Step 3

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

$6 x^{2} - 7 x - 1 - 3 x + 5 + 4 x + 3$

Step 4

Subtract $3 x$ from $- 7 x$ .

$6 x^{2} - 10 x - 1 + 5 + 4 x + 3$

Step 5

Add $- 10 x$ and $4 x$ .

$6 x^{2} - 6 x - 1 + 5 + 3$

Step 6

Simplify by adding numbers.

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Step 6.1

Add $- 1$ and $5$ .

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

Step 6.2

Add $4$ and $3$ .

$6 x^{2} - 6 x + 7$