Simplify (4a-3)^2

Math
(4a-3)2
Rewrite (4a-3)2 as (4a-3)(4a-3).
(4a-3)(4a-3)
Expand (4a-3)(4a-3) using the FOIL Method.
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Apply the distributive property.
4a(4a-3)-3(4a-3)
Apply the distributive property.
4a(4a)+4a⋅-3-3(4a-3)
Apply the distributive property.
4a(4a)+4a⋅-3-3(4a)-3⋅-3
4a(4a)+4a⋅-3-3(4a)-3⋅-3
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
4⋅4a2+4a⋅-3-3(4a)-3⋅-3
Multiply 4 by 4.
16a2+4a⋅-3-3(4a)-3⋅-3
Multiply -3 by 4.
16a2-12a-3(4a)-3⋅-3
Multiply 4 by -3.
16a2-12a-12a-3⋅-3
Multiply -3 by -3.
16a2-12a-12a+9
16a2-12a-12a+9
Subtract 12a from -12a.
16a2-24a+9
16a2-24a+9
Simplify (4a-3)^2

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