Basic Math Examples

(u + 1) (u - 6)

$(u + 1) (u - 6)$

Step 1

Expand

(u + 1) (u - 6)

$(u + 1) (u - 6)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

u (u - 6) + 1 (u - 6)

$u (u - 6) + 1 (u - 6)$

Step 1.2

Apply the distributive property.

u \cdot u + u \cdot - 6 + 1 (u - 6)

$u \cdot u + u \cdot - 6 + 1 (u - 6)$

Step 1.3

Apply the distributive property.

u \cdot u + u \cdot - 6 + 1 u + 1 \cdot - 6

$u \cdot u + u \cdot - 6 + 1 u + 1 \cdot - 6$

u \cdot u + u \cdot - 6 + 1 u + 1 \cdot - 6

$u \cdot u + u \cdot - 6 + 1 u + 1 \cdot - 6$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

u

$u$ by

u

$u$ .

u^{2} + u \cdot - 6 + 1 u + 1 \cdot - 6

$u^{2} + u \cdot - 6 + 1 u + 1 \cdot - 6$

Step 2.1.2

Move

- 6

$- 6$ to the left of

u

$u$ .

u^{2} - 6 \cdot u + 1 u + 1 \cdot - 6

$u^{2} - 6 \cdot u + 1 u + 1 \cdot - 6$

Step 2.1.3

Multiply

u

$u$ by

1

$1$ .

u^{2} - 6 u + u + 1 \cdot - 6

$u^{2} - 6 u + u + 1 \cdot - 6$

Step 2.1.4

Multiply

- 6

$- 6$ by

1

$1$ .

u^{2} - 6 u + u - 6

$u^{2} - 6 u + u - 6$

$u^{2} - 6 u + u - 6$

Step 2.2

Add

$- 6 u$ and

$u$ .

$u^{2} - 5 u - 6$

$u^{2} - 5 u - 6$

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