Simplify (10a-9)^2

Math
(10a-9)2
Rewrite (10a-9)2 as (10a-9)(10a-9).
(10a-9)(10a-9)
Expand (10a-9)(10a-9) using the FOIL Method.
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Apply the distributive property.
10a(10a-9)-9(10a-9)
Apply the distributive property.
10a(10a)+10a⋅-9-9(10a-9)
Apply the distributive property.
10a(10a)+10a⋅-9-9(10a)-9⋅-9
10a(10a)+10a⋅-9-9(10a)-9⋅-9
Simplify and combine like terms.
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Simplify each term.
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Multiply a by a.
10⋅10a2+10a⋅-9-9(10a)-9⋅-9
Multiply 10 by 10.
100a2+10a⋅-9-9(10a)-9⋅-9
Multiply -9 by 10.
100a2-90a-9(10a)-9⋅-9
Multiply 10 by -9.
100a2-90a-90a-9⋅-9
Multiply -9 by -9.
100a2-90a-90a+81
100a2-90a-90a+81
Subtract 90a from -90a.
100a2-180a+81
100a2-180a+81
Simplify (10a-9)^2

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