Pre-Algebra Examples

$2 (2 a + 1) - 3 a (2 a + 1)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 (2 a) + 2 \cdot 1 - 3 a (2 a + 1)$

Step 1.2

Multiply $2$ by $2$ .

$4 a + 2 \cdot 1 - 3 a (2 a + 1)$

Step 1.3

Multiply $2$ by $1$ .

$4 a + 2 - 3 a (2 a + 1)$

Step 1.4

Apply the distributive property.

$4 a + 2 - 3 a (2 a) - 3 a \cdot 1$

Step 1.5

Rewrite using the commutative property of multiplication.

$4 a + 2 - 3 \cdot 2 a \cdot a - 3 a \cdot 1$

Step 1.6

Multiply $- 3$ by $1$ .

$4 a + 2 - 3 \cdot 2 a \cdot a - 3 a$

Step 1.7

Simplify each term.

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Step 1.7.1

Multiply $a$ by $a$ by adding the exponents.

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Step 1.7.1.1

Move $a$ .

$4 a + 2 - 3 \cdot 2 (a \cdot a) - 3 a$

Step 1.7.1.2

Multiply $a$ by $a$ .

$4 a + 2 - 3 \cdot 2 a^{2} - 3 a$

$4 a + 2 - 3 \cdot 2 a^{2} - 3 a$

Step 1.7.2

Multiply $- 3$ by $2$ .

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

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

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

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $3 a$ from $4 a$ .

$a + 2 - 6 a^{2}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Move $2$ .

$a - 6 a^{2} + 2$

Step 2.2.2

Reorder $a$ and $- 6 a^{2}$ .

$- 6 a^{2} + a + 2$

$- 6 a^{2} + a + 2$

$- 6 a^{2} + a + 2$

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