Multiply (4a-9)^2

Math
(4a-9)2
Rewrite (4a-9)2 as (4a-9)(4a-9).
(4a-9)(4a-9)
Expand (4a-9)(4a-9) using the FOIL Method.
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Apply the distributive property.
4a(4a-9)-9(4a-9)
Apply the distributive property.
4a(4a)+4a⋅-9-9(4a-9)
Apply the distributive property.
4a(4a)+4a⋅-9-9(4a)-9⋅-9
4a(4a)+4a⋅-9-9(4a)-9⋅-9
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
4⋅4a2+4a⋅-9-9(4a)-9⋅-9
Multiply 4 by 4.
16a2+4a⋅-9-9(4a)-9⋅-9
Multiply -9 by 4.
16a2-36a-9(4a)-9⋅-9
Multiply 4 by -9.
16a2-36a-36a-9⋅-9
Multiply -9 by -9.
16a2-36a-36a+81
16a2-36a-36a+81
Subtract 36a from -36a.
16a2-72a+81
16a2-72a+81
Multiply (4a-9)^2

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