Simplify (2u+5)(3u-6)

(2u+5)(3u-6)

Expand (2u+5)(3u-6) using the FOIL Method.

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Apply the distributive property.

2u(3u-6)+5(3u-6)

Apply the distributive property.

2u(3u)+2u⋅-6+5(3u-6)

Apply the distributive property.

2u(3u)+2u⋅-6+5(3u)+5⋅-6

Simplify and combine like terms.

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Simplify each term.

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Multiply u by u.

2⋅3u2+2u⋅-6+5(3u)+5⋅-6

Multiply 2 by 3.

6u2+2u⋅-6+5(3u)+5⋅-6

Multiply -6 by 2.

6u2-12u+5(3u)+5⋅-6

Multiply 3 by 5.

6u2-12u+15u+5⋅-6

Multiply 5 by -6.

6u2-12u+15u-30

Add -12u and 15u.

6u2+3u-30

Simplify (2u+5)(3u-6)

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