Multiply (8x+y)(8x-y)

Math
(8x+y)(8x-y)
Expand (8x+y)(8x-y) using the FOIL Method.
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Apply the distributive property.
8x(8x-y)+y(8x-y)
Apply the distributive property.
8x(8x)+8x(-y)+y(8x-y)
Apply the distributive property.
8x(8x)+8x(-y)+y(8x)+y(-y)
8x(8x)+8x(-y)+y(8x)+y(-y)
Simplify and combine like terms.
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Simplify each term.
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Multiply x by x.
8⋅8×2+8x(-y)+y(8x)+y(-y)
Multiply 8 by 8.
64×2+8x(-y)+y(8x)+y(-y)
Rewrite using the commutative property of multiplication.
64×2+8⋅-1(xy)+y(8x)+y(-y)
Multiply 8 by -1.
64×2-8(xy)+y(8x)+y(-y)
Rewrite using the commutative property of multiplication.
64×2-8xy+8yx+y(-y)
Rewrite using the commutative property of multiplication.
64×2-8xy+8yx-y⋅y
Multiply y by y by adding the exponents.
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Move y.
64×2-8xy+8yx-(y⋅y)
Multiply y by y.
64×2-8xy+8yx-y2
64×2-8xy+8yx-y2
64×2-8xy+8yx-y2
Add -8xy and 8yx.
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Move y.
64×2-8xy+8xy-y2
Add -8xy and 8xy.
64×2+0-y2
64×2+0-y2
Add 64×2 and 0.
64×2-y2
64×2-y2
Multiply (8x+y)(8x-y)

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