Simplify (7y-3z)(7y+3z)

Math
(7y-3z)(7y+3z)
Expand (7y-3z)(7y+3z) using the FOIL Method.
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Apply the distributive property.
7y(7y+3z)-3z(7y+3z)
Apply the distributive property.
7y(7y)+7y(3z)-3z(7y+3z)
Apply the distributive property.
7y(7y)+7y(3z)-3z(7y)-3z(3z)
7y(7y)+7y(3z)-3z(7y)-3z(3z)
Simplify terms.
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Combine the opposite terms in 7y(7y)+7y(3z)-3z(7y)-3z(3z).
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Reorder the factors in the terms 7y(3z) and -3z(7y).
7y(7y)+3⋅7yz-3⋅7yz-3z(3z)
Subtract 3⋅7yz from 3⋅7yz.
7y(7y)+0-3z(3z)
Add 7y(7y) and 0.
7y(7y)-3z(3z)
7y(7y)-3z(3z)
Simplify each term.
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Multiply y by y.
7⋅7y2-3z(3z)
Multiply 7 by 7.
49y2-3z(3z)
Multiply z by z.
49y2-3⋅3z2
Multiply -3 by 3.
49y2-9z2
49y2-9z2
49y2-9z2
Simplify (7y-3z)(7y+3z)

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