Basic Math Examples

$a (4 a + 7) - (8 a - 7)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$a (4 a) + a \cdot 7 - (8 a - 7)$

Step 1.2

Rewrite using the commutative property of multiplication.

$4 a \cdot a + a \cdot 7 - (8 a - 7)$

Step 1.3

Move $7$ to the left of $a$ .

$4 a \cdot a + 7 \cdot a - (8 a - 7)$

Step 1.4

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

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Step 1.4.1

Move $a$ .

$4 (a \cdot a) + 7 \cdot a - (8 a - 7)$

Step 1.4.2

Multiply $a$ by $a$ .

$4 a^{2} + 7 \cdot a - (8 a - 7)$

$4 a^{2} + 7 a - (8 a - 7)$

Step 1.5

Apply the distributive property.

$4 a^{2} + 7 a - (8 a) - - 7$

Step 1.6

Multiply $8$ by $- 1$ .

$4 a^{2} + 7 a - 8 a - - 7$

Step 1.7

Multiply $- 1$ by $- 7$ .

$4 a^{2} + 7 a - 8 a + 7$

$4 a^{2} + 7 a - 8 a + 7$

Step 2

Subtract $8 a$ from $7 a$ .

$4 a^{2} - a + 7$

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