Basic Math Examples

$4 \cdot 8 + 9 (3 a + 5) + 8 (2 a + 1)$

Step 1

Simplify each term.

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Step 1.1

Multiply $4$ by $8$ .

$32 + 9 (3 a + 5) + 8 (2 a + 1)$

Step 1.2

Apply the distributive property.

$32 + 9 (3 a) + 9 \cdot 5 + 8 (2 a + 1)$

Step 1.3

Multiply $3$ by $9$ .

$32 + 27 a + 9 \cdot 5 + 8 (2 a + 1)$

Step 1.4

Multiply $9$ by $5$ .

$32 + 27 a + 45 + 8 (2 a + 1)$

Step 1.5

Apply the distributive property.

$32 + 27 a + 45 + 8 (2 a) + 8 \cdot 1$

Step 1.6

Multiply $2$ by $8$ .

$32 + 27 a + 45 + 16 a + 8 \cdot 1$

Step 1.7

Multiply $8$ by $1$ .

$32 + 27 a + 45 + 16 a + 8$

$32 + 27 a + 45 + 16 a + 8$

Step 2

Simplify by adding terms.

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Step 2.1

Add $32$ and $45$ .

$27 a + 77 + 16 a + 8$

Step 2.2

Add $27 a$ and $16 a$ .

$43 a + 77 + 8$

Step 2.3

Add $77$ and $8$ .

$43 a + 85$

$43 a + 85$

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