Algebra Examples

(a^{2} - a b) + (a^{2} + 2 a b) + (a - 2 a^{2})

$(a^{2} - a b) + (a^{2} + 2 a b) + (a - 2 a^{2})$

Step 1

Remove parentheses.

a^{2} - a b + a^{2} + 2 a b + a - 2 a^{2}

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

Step 2

Add

a^{2}

$a^{2}$ and

a^{2}

$a^{2}$ .

2 a^{2} - a b + 2 a b + a - 2 a^{2}

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

Step 3

Combine the opposite terms in

2 a^{2} - a b + 2 a b + a - 2 a^{2}

$2 a^{2} - a b + 2 a b + a - 2 a^{2}$ .

Tap for more steps...

Step 3.1

Subtract

2 a^{2}

$2 a^{2}$ from

2 a^{2}

$2 a^{2}$ .

- a b + 2 a b + a + 0

$- a b + 2 a b + a + 0$

Step 3.2

Add

- a b + 2 a b + a

$- a b + 2 a b + a$ and

0

$0$ .

- a b + 2 a b + a

$- a b + 2 a b + a$

- a b + 2 a b + a

$- a b + 2 a b + a$

Step 4

Add

- a b

$- a b$ and

2 a b

$2 a b$ .

1 a b + a

$1 a b + a$

Step 5

Multiply

a

$a$ by

1

$1$ .

a b + a

$a b + a$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$