Linear Algebra Examples

$5 x^{2} + 19 x + 24$ , $- 7 x^{2} + 12 x + 9$ , $- x^{2} - 9 x + 11$

Step 1

Add the expressions.

$5 x^{2} + 19 x + 24 - 7 x^{2} + 12 x + 9 - x^{2} - 9 x + 11$

Step 2

Subtract $7 x^{2}$ from $5 x^{2}$ .

$- 2 x^{2} + 19 x + 24 + 12 x + 9 - x^{2} - 9 x + 11$

Step 3

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

$- 3 x^{2} + 19 x + 24 + 12 x + 9 - 9 x + 11$

Step 4

Add $19 x$ and $12 x$ .

$- 3 x^{2} + 31 x + 24 + 9 - 9 x + 11$

Step 5

Subtract $9 x$ from $31 x$ .

$- 3 x^{2} + 22 x + 24 + 9 + 11$

Step 6

Simplify by adding numbers.

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Step 6.1

Add $24$ and $9$ .

$- 3 x^{2} + 22 x + 33 + 11$

Step 6.2

Add $33$ and $11$ .

$- 3 x^{2} + 22 x + 44$