Simplify (4+y)(4-y)

Math
(4+y)(4-y)
Expand (4+y)(4-y) using the FOIL Method.
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Apply the distributive property.
4(4-y)+y(4-y)
Apply the distributive property.
4⋅4+4(-y)+y(4-y)
Apply the distributive property.
4⋅4+4(-y)+y⋅4+y(-y)
4⋅4+4(-y)+y⋅4+y(-y)
Simplify and combine like terms.
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Simplify each term.
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Multiply 4 by 4.
16+4(-y)+y⋅4+y(-y)
Multiply -1 by 4.
16-4y+y⋅4+y(-y)
Move 4 to the left of y.
16-4y+4⋅y+y(-y)
Rewrite using the commutative property of multiplication.
16-4y+4y-y⋅y
Multiply y by y by adding the exponents.
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Move y.
16-4y+4y-(y⋅y)
Multiply y by y.
16-4y+4y-y2
16-4y+4y-y2
16-4y+4y-y2
Add -4y and 4y.
16+0-y2
Add 16 and 0.
16-y2
16-y2
Simplify (4+y)(4-y)

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