Finite Math Examples

$14 a^{2} + 9 a b + 2 b^{2} + 4 a^{2} - 8 a b + b^{2} - 9 a^{2} - 9 a b + 8 b^{2}$

Step 1

Combine the opposite terms in $14 a^{2} + 9 a b + 2 b^{2} + 4 a^{2} - 8 a b + b^{2} - 9 a^{2} - 9 a b + 8 b^{2}$ .

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Step 1.1

Subtract $9 a b$ from $9 a b$ .

$14 a^{2} + 2 b^{2} + 4 a^{2} - 8 a b + b^{2} - 9 a^{2} + 0 + 8 b^{2}$

Step 1.2

Add $14 a^{2} + 2 b^{2} + 4 a^{2} - 8 a b + b^{2} - 9 a^{2}$ and $0$ .

$14 a^{2} + 2 b^{2} + 4 a^{2} - 8 a b + b^{2} - 9 a^{2} + 8 b^{2}$

Step 2

Add $14 a^{2}$ and $4 a^{2}$ .

$18 a^{2} + 2 b^{2} - 8 a b + b^{2} - 9 a^{2} + 8 b^{2}$

Step 3

Subtract $9 a^{2}$ from $18 a^{2}$ .

$9 a^{2} + 2 b^{2} - 8 a b + b^{2} + 8 b^{2}$

Step 4

Add $2 b^{2}$ and $b^{2}$ .

$9 a^{2} + 3 b^{2} - 8 a b + 8 b^{2}$

Step 5

Add $3 b^{2}$ and $8 b^{2}$ .

$9 a^{2} + 11 b^{2} - 8 a b$