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2g^{2}+2g-g\left(g+1\right)
Use the distributive property to multiply 2g by g+1.
2g^{2}+2g-\left(g^{2}+g\right)
Use the distributive property to multiply g by g+1.
2g^{2}+2g-g^{2}-g
To find the opposite of g^{2}+g, find the opposite of each term.
g^{2}+2g-g
Combine 2g^{2} and -g^{2} to get g^{2}.
g^{2}+g
Combine 2g and -g to get g.
2g^{2}+2g-g\left(g+1\right)
Use the distributive property to multiply 2g by g+1.
2g^{2}+2g-\left(g^{2}+g\right)
Use the distributive property to multiply g by g+1.
2g^{2}+2g-g^{2}-g
To find the opposite of g^{2}+g, find the opposite of each term.
g^{2}+2g-g
Combine 2g^{2} and -g^{2} to get g^{2}.
g^{2}+g
Combine 2g and -g to get g.