Simplify (m-8)(m+8)(m^2-64)

Math
(m-8)(m+8)(m2-64)
Expand (m-8)(m+8) using the FOIL Method.
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Apply the distributive property.
(m(m+8)-8(m+8))(m2-64)
Apply the distributive property.
(m⋅m+m⋅8-8(m+8))(m2-64)
Apply the distributive property.
(m⋅m+m⋅8-8m-8⋅8)(m2-64)
(m⋅m+m⋅8-8m-8⋅8)(m2-64)
Simplify terms.
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Combine the opposite terms in m⋅m+m⋅8-8m-8⋅8.
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Reorder the factors in the terms m⋅8 and -8m.
(m⋅m+8m-8m-8⋅8)(m2-64)
Subtract 8m from 8m.
(m⋅m+0-8⋅8)(m2-64)
Add m⋅m and 0.
(m⋅m-8⋅8)(m2-64)
(m⋅m-8⋅8)(m2-64)
Simplify each term.
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Multiply m by m.
(m2-8⋅8)(m2-64)
Multiply -8 by 8.
(m2-64)(m2-64)
(m2-64)(m2-64)
(m2-64)(m2-64)
Expand (m2-64)(m2-64) using the FOIL Method.
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Apply the distributive property.
m2(m2-64)-64(m2-64)
Apply the distributive property.
m2m2+m2⋅-64-64(m2-64)
Apply the distributive property.
m2m2+m2⋅-64-64m2-64⋅-64
m2m2+m2⋅-64-64m2-64⋅-64
Simplify and combine like terms.
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Simplify each term.
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Multiply m2 by m2 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
m2+2+m2⋅-64-64m2-64⋅-64
Add 2 and 2.
m4+m2⋅-64-64m2-64⋅-64
m4+m2⋅-64-64m2-64⋅-64
Move -64 to the left of m2.
m4-64⋅m2-64m2-64⋅-64
Multiply -64 by -64.
m4-64m2-64m2+4096
m4-64m2-64m2+4096
Subtract 64m2 from -64m2.
m4-128m2+4096
m4-128m2+4096
Simplify (m-8)(m+8)(m^2-64)

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