Simplify (x-1)(x-6)

$(x - 1) (x - 6)$

Step 1

Expand $(x - 1) (x - 6)$ using the FOIL Method.

Apply the distributive property.

$x (x - 6) - 1 (x - 6)$

Apply the distributive property.

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

Apply the distributive property.

$x \cdot x + x \cdot - 6 - 1 x - 1 \cdot - 6$

$x \cdot x + x \cdot - 6 - 1 x - 1 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $- 6$ to the left of $x$ .

$x^{2} - 6 \cdot x - 1 x - 1 \cdot - 6$

Rewrite $- 1 x$ as $- x$ .

$x^{2} - 6 x - x - 1 \cdot - 6$

Multiply $- 1$ by $- 6$ .

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

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

Subtract $x$ from $- 6 x$ .

$x^{2} - 7 x + 6$

$x^{2} - 7 x + 6$

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