Simplify (y-7)(y+6)

$(y - 7) (y + 6)$

Step 1

Expand $(y - 7) (y + 6)$ using the FOIL Method.

Apply the distributive property.

$y (y + 6) - 7 (y + 6)$

Apply the distributive property.

$y \cdot y + y \cdot 6 - 7 (y + 6)$

Apply the distributive property.

$y \cdot y + y \cdot 6 - 7 y - 7 \cdot 6$

$y \cdot y + y \cdot 6 - 7 y - 7 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $y$ by $y$ .

$y^{2} + y \cdot 6 - 7 y - 7 \cdot 6$

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

$y^{2} + 6 \cdot y - 7 y - 7 \cdot 6$

Multiply $- 7$ by $6$ .

$y^{2} + 6 y - 7 y - 42$

$y^{2} + 6 y - 7 y - 42$

Subtract $7 y$ from $6 y$ .

$y^{2} - y - 42$

$y^{2} - y - 42$

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