Basic Math Examples

$(2 a + 1) - 4 a (2 a + 1) + 4 a^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$2 a + 1 - 4 a (2 a) - 4 a \cdot 1 + 4 a^{2}$

Step 1.2

Rewrite using the commutative property of multiplication.

$2 a + 1 - 4 \cdot 2 a \cdot a - 4 a \cdot 1 + 4 a^{2}$

Step 1.3

Multiply $- 4$ by $1$ .

$2 a + 1 - 4 \cdot 2 a \cdot a - 4 a + 4 a^{2}$

Step 1.4

Simplify each term.

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Step 1.4.1

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

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Step 1.4.1.1

Move $a$ .

$2 a + 1 - 4 \cdot 2 (a \cdot a) - 4 a + 4 a^{2}$

Step 1.4.1.2

Multiply $a$ by $a$ .

$2 a + 1 - 4 \cdot 2 a^{2} - 4 a + 4 a^{2}$

Step 1.4.2

Multiply $- 4$ by $2$ .

$2 a + 1 - 8 a^{2} - 4 a + 4 a^{2}$

Step 2

Simplify by adding terms.

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Step 2.1

Subtract $4 a$ from $2 a$ .

$- 2 a + 1 - 8 a^{2} + 4 a^{2}$

Step 2.2

Add $- 8 a^{2}$ and $4 a^{2}$ .

$- 2 a + 1 - 4 a^{2}$

Step 2.3

Simplify the expression.

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Step 2.3.1

Move $1$ .

$- 2 a - 4 a^{2} + 1$

Step 2.3.2

Reorder $- 2 a$ and $- 4 a^{2}$ .

$- 4 a^{2} - 2 a + 1$