Finite Math Examples

$4 (5 x - (3 x - 7)) f (x)$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

$4 (5 x - (3 x) - - 7) f x$

Step 1.2

Multiply $3$ by $- 1$ .

$4 (5 x - 3 x - - 7) f x$

Step 1.3

Multiply $- 1$ by $- 7$ .

$4 (5 x - 3 x + 7) f x$

$4 (5 x - 3 x + 7) f x$

Step 2

Simplify terms.

Tap for more steps...

Step 2.1

Subtract $3 x$ from $5 x$ .

$4 (2 x + 7) f x$

Step 2.2

Apply the distributive property.

$(4 (2 x) + 4 \cdot 7) f x$

Step 2.3

Multiply.

Tap for more steps...

Step 2.3.1

Multiply $2$ by $4$ .

$(8 x + 4 \cdot 7) f x$

Step 2.3.2

Multiply $4$ by $7$ .

$(8 x + 28) f x$

$(8 x + 28) f x$

Step 2.4

Apply the distributive property.

$(8 x f + 28 f) x$

Step 2.5

Apply the distributive property.

$8 x f x + 28 f x$

$8 x f x + 28 f x$

Step 3

Multiply $x$ by $x$ by adding the exponents.

Tap for more steps...

Step 3.1

Move $x$ .

$8 (x \cdot x) f + 28 f x$

Step 3.2

Multiply $x$ by $x$ .

$8 x^{2} f + 28 f x$

$8 x^{2} f + 28 f x$

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