# Simplify (2m-3n)(2m+6n)

(2m-3n)(2m+6n)
Expand (2m-3n)(2m+6n) using the FOIL Method.
Apply the distributive property.
2m(2m+6n)-3n(2m+6n)
Apply the distributive property.
2m(2m)+2m(6n)-3n(2m+6n)
Apply the distributive property.
2m(2m)+2m(6n)-3n(2m)-3n(6n)
2m(2m)+2m(6n)-3n(2m)-3n(6n)
Simplify and combine like terms.
Simplify each term.
Multiply m by m.
2⋅2m2+2m(6n)-3n(2m)-3n(6n)
Multiply 2 by 2.
4m2+2m(6n)-3n(2m)-3n(6n)
Rewrite using the commutative property of multiplication.
4m2+2⋅6(mn)-3n(2m)-3n(6n)
Multiply 2 by 6.
4m2+12(mn)-3n(2m)-3n(6n)
Rewrite using the commutative property of multiplication.
4m2+12mn-3⋅2(nm)-3n(6n)
Multiply -3 by 2.
4m2+12mn-6(nm)-3n(6n)
Multiply n by n.
4m2+12mn-6nm-3⋅6n2
Multiply -3 by 6.
4m2+12mn-6nm-18n2
4m2+12mn-6nm-18n2
Subtract 6nm from 12mn.
Move n.
4m2+12mn-6mn-18n2
Subtract 6mn from 12mn.
4m2+6mn-18n2
4m2+6mn-18n2
4m2+6mn-18n2
Simplify (2m-3n)(2m+6n)

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