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2u^{2}+2u-u-1+8u\left(u+2\right)
Apply the distributive property by multiplying each term of 2u-1 by each term of u+1.
2u^{2}+u-1+8u\left(u+2\right)
Combine 2u and -u to get u.
2u^{2}+u-1+8u^{2}+16u
Use the distributive property to multiply 8u by u+2.
10u^{2}+u-1+16u
Combine 2u^{2} and 8u^{2} to get 10u^{2}.
10u^{2}+17u-1
Combine u and 16u to get 17u.
2u^{2}+2u-u-1+8u\left(u+2\right)
Apply the distributive property by multiplying each term of 2u-1 by each term of u+1.
2u^{2}+u-1+8u\left(u+2\right)
Combine 2u and -u to get u.
2u^{2}+u-1+8u^{2}+16u
Use the distributive property to multiply 8u by u+2.
10u^{2}+u-1+16u
Combine 2u^{2} and 8u^{2} to get 10u^{2}.
10u^{2}+17u-1
Combine u and 16u to get 17u.