Basic Math Examples

(u + 4) (u - 3)

$(u + 4) (u - 3)$

Step 1

Expand

(u + 4) (u - 3)

$(u + 4) (u - 3)$ using the FOIL Method.

Tap for more steps...

Step 1.1

Apply the distributive property.

u (u - 3) + 4 (u - 3)

$u (u - 3) + 4 (u - 3)$

Step 1.2

Apply the distributive property.

u \cdot u + u \cdot - 3 + 4 (u - 3)

$u \cdot u + u \cdot - 3 + 4 (u - 3)$

Step 1.3

Apply the distributive property.

u \cdot u + u \cdot - 3 + 4 u + 4 \cdot - 3

$u \cdot u + u \cdot - 3 + 4 u + 4 \cdot - 3$

u \cdot u + u \cdot - 3 + 4 u + 4 \cdot - 3

$u \cdot u + u \cdot - 3 + 4 u + 4 \cdot - 3$

Step 2

Simplify and combine like terms.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Multiply

u

$u$ by

u

$u$ .

u^{2} + u \cdot - 3 + 4 u + 4 \cdot - 3

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

Step 2.1.2

Move

- 3

$- 3$ to the left of

u

$u$ .

u^{2} - 3 \cdot u + 4 u + 4 \cdot - 3

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

Step 2.1.3

Multiply

4

$4$ by

- 3

$- 3$ .

u^{2} - 3 u + 4 u - 12

$u^{2} - 3 u + 4 u - 12$

u^{2} - 3 u + 4 u - 12

$u^{2} - 3 u + 4 u - 12$

Step 2.2

Add

- 3 u

$- 3 u$ and

4 u

$4 u$ .

u^{2} + u - 12

$u^{2} + u - 12$

u^{2} + u - 12

$u^{2} + u - 12$

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

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