Simplify (4u+7v)(3u-6v-5)

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(4u+7v)(3u-6v-5)
Expand (4u+7v)(3u-6v-5) by multiplying each term in the first expression by each term in the second expression.
4u(3u)+4u(-6v)+4u⋅-5+7v(3u)+7v(-6v)+7v⋅-5
Simplify each term.
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Multiply u by u.
4⋅3u2+4u(-6v)+4u⋅-5+7v(3u)+7v(-6v)+7v⋅-5
Multiply 4 by 3.
12u2+4u(-6v)+4u⋅-5+7v(3u)+7v(-6v)+7v⋅-5
Rewrite using the commutative property of multiplication.
12u2+4⋅-6(uv)+4u⋅-5+7v(3u)+7v(-6v)+7v⋅-5
Multiply 4 by -6.
12u2-24(uv)+4u⋅-5+7v(3u)+7v(-6v)+7v⋅-5
Multiply -5 by 4.
12u2-24uv-20u+7v(3u)+7v(-6v)+7v⋅-5
Rewrite using the commutative property of multiplication.
12u2-24uv-20u+7⋅3(vu)+7v(-6v)+7v⋅-5
Multiply 7 by 3.
12u2-24uv-20u+21(vu)+7v(-6v)+7v⋅-5
Multiply v by v.
12u2-24uv-20u+21vu+7⋅-6v2+7v⋅-5
Multiply 7 by -6.
12u2-24uv-20u+21vu-42v2+7v⋅-5
Multiply -5 by 7.
12u2-24uv-20u+21vu-42v2-35v
12u2-24uv-20u+21vu-42v2-35v
Add -24uv and 21vu.
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Move v.
12u2-24uv+21uv-20u-42v2-35v
Add -24uv and 21uv.
12u2-3uv-20u-42v2-35v
12u2-3uv-20u-42v2-35v
Move -20u.
12u2-3uv-42v2-20u-35v
Simplify (4u+7v)(3u-6v-5)

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