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A\left(ut+u-u\left(t-1\right)\right)
Use the distributive property to multiply u by t+1.
A\left(ut+u-\left(ut-u\right)\right)
Use the distributive property to multiply u by t-1.
A\left(ut+u-ut-\left(-u\right)\right)
To find the opposite of ut-u, find the opposite of each term.
A\left(ut+u-ut+u\right)
The opposite of -u is u.
A\left(u+u\right)
Combine ut and -ut to get 0.
A\times 2u
Combine u and u to get 2u.
A\left(ut+u-u\left(t-1\right)\right)
Use the distributive property to multiply u by t+1.
A\left(ut+u-\left(ut-u\right)\right)
Use the distributive property to multiply u by t-1.
A\left(ut+u-ut-\left(-u\right)\right)
To find the opposite of ut-u, find the opposite of each term.
A\left(ut+u-ut+u\right)
The opposite of -u is u.
A\left(u+u\right)
Combine ut and -ut to get 0.
A\times 2u
Combine u and u to get 2u.