Simplify (3n-5)^2

Math
(3n-5)2
Rewrite (3n-5)2 as (3n-5)(3n-5).
(3n-5)(3n-5)
Expand (3n-5)(3n-5) using the FOIL Method.
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Apply the distributive property.
3n(3n-5)-5(3n-5)
Apply the distributive property.
3n(3n)+3n⋅-5-5(3n-5)
Apply the distributive property.
3n(3n)+3n⋅-5-5(3n)-5⋅-5
3n(3n)+3n⋅-5-5(3n)-5⋅-5
Simplify and combine like terms.
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Simplify each term.
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Multiply n by n.
3⋅3n2+3n⋅-5-5(3n)-5⋅-5
Multiply 3 by 3.
9n2+3n⋅-5-5(3n)-5⋅-5
Multiply -5 by 3.
9n2-15n-5(3n)-5⋅-5
Multiply 3 by -5.
9n2-15n-15n-5⋅-5
Multiply -5 by -5.
9n2-15n-15n+25
9n2-15n-15n+25
Subtract 15n from -15n.
9n2-30n+25
9n2-30n+25
Simplify (3n-5)^2

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