Simplify (7v^2-6)*(7v^2+6)

Math
(7v2-6)⋅(7v2+6)
Expand (7v2-6)(7v2+6) using the FOIL Method.
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Apply the distributive property.
7v2(7v2+6)-6(7v2+6)
Apply the distributive property.
7v2(7v2)+7v2⋅6-6(7v2+6)
Apply the distributive property.
7v2(7v2)+7v2⋅6-6(7v2)-6⋅6
7v2(7v2)+7v2⋅6-6(7v2)-6⋅6
Simplify terms.
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Combine the opposite terms in 7v2(7v2)+7v2⋅6-6(7v2)-6⋅6.
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Reorder the factors in the terms 7v2⋅6 and -6(7v2).
7v2(7v2)+6⋅7v2-6⋅7v2-6⋅6
Subtract 6⋅7v2 from 6⋅7v2.
7v2(7v2)+0-6⋅6
Add 7v2(7v2) and 0.
7v2(7v2)-6⋅6
7v2(7v2)-6⋅6
Simplify each term.
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Rewrite using the commutative property of multiplication.
7⋅7(v2v2)-6⋅6
Multiply v2 by v2 by adding the exponents.
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Use the power rule aman=am+n to combine exponents.
7⋅7v2+2-6⋅6
Add 2 and 2.
7⋅7v4-6⋅6
7⋅7v4-6⋅6
Multiply 7 by 7.
49v4-6⋅6
Multiply -6 by 6.
49v4-36
49v4-36
49v4-36
Simplify (7v^2-6)*(7v^2+6)

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