Simplify (y+1)(y-6)

$(y + 1) (y - 6)$

Step 1

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

Apply the distributive property.

$y (y - 6) + 1 (y - 6)$

Apply the distributive property.

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

Apply the distributive property.

$y \cdot y + y \cdot - 6 + 1 y + 1 \cdot - 6$

$y \cdot y + y \cdot - 6 + 1 y + 1 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

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

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

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

Multiply $y$ by $1$ .

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

Multiply $- 6$ by $1$ .

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

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

Add $- 6 y$ and $y$ .

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

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

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