# Simplify (uv^2-2a)(uv^2+2a)

(uv2-2a)(uv2+2a)
Expand (uv2-2a)(uv2+2a) using the FOIL Method.
Apply the distributive property.
uv2(uv2+2a)-2a(uv2+2a)
Apply the distributive property.
uv2(uv2)+uv2(2a)-2a(uv2+2a)
Apply the distributive property.
uv2(uv2)+uv2(2a)-2a(uv2)-2a(2a)
uv2(uv2)+uv2(2a)-2a(uv2)-2a(2a)
Simplify terms.
Combine the opposite terms in uv2(uv2)+uv2(2a)-2a(uv2)-2a(2a).
Reorder the factors in the terms uv2(2a) and -2a(uv2).
uv2(uv2)+2v2au-2v2au-2a(2a)
Subtract 2v2au from 2v2au.
uv2(uv2)+0-2a(2a)
uv2(uv2)-2a(2a)
uv2(uv2)-2a(2a)
Simplify each term.
Multiply u by u by adding the exponents.
Move u.
u⋅uv2v2-2a(2a)
Multiply u by u.
u2v2v2-2a(2a)
u2v2v2-2a(2a)
Multiply v2 by v2 by adding the exponents.
Move v2.
u2(v2v2)-2a(2a)
Use the power rule aman=am+n to combine exponents.
u2v2+2-2a(2a)
u2v4-2a(2a)
u2v4-2a(2a)
Multiply a by a.
u2v4-2⋅2a2
Multiply -2 by 2.
u2v4-4a2
u2v4-4a2
u2v4-4a2
Simplify (uv^2-2a)(uv^2+2a)

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