Simplify (a-4)^2

Math
(a-4)2
Rewrite (a-4)2 as (a-4)(a-4).
(a-4)(a-4)
Expand (a-4)(a-4) using the FOIL Method.
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Apply the distributive property.
a(a-4)-4(a-4)
Apply the distributive property.
a⋅a+a⋅-4-4(a-4)
Apply the distributive property.
a⋅a+a⋅-4-4a-4⋅-4
a⋅a+a⋅-4-4a-4⋅-4
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
a2+a⋅-4-4a-4⋅-4
Move -4 to the left of a.
a2-4⋅a-4a-4⋅-4
Multiply -4 by -4.
a2-4a-4a+16
a2-4a-4a+16
Subtract 4a from -4a.
a2-8a+16
a2-8a+16
Simplify (a-4)^2

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