Answer:
[tex]2u^2+8u+2[/tex]
Step-by-step explanation:
[tex]\left(-2u^2+u-3\right)+\left(4u^2+7u+5\right)[/tex]
[tex]\blacksquare[/tex] Remove parentheses:
[tex]\longmapsto[/tex] [tex]-2u^2+u-3+4u^2+7u+5[/tex]
[tex]\blacksquare[/tex] Combine like terms:
[tex]-2u^2+4u^2+u+7u-3+5[/tex]
[tex]\longmapsto[/tex] [tex]-2u^2+4u^2=2u^2[/tex]
[tex]\longmapsto[/tex][tex]\:u+7u=8u[/tex]
[tex]\longmapsto[/tex] [tex]-3+5=2[/tex]
[tex]\leadsto[/tex] [tex]2u^2+8u+2[/tex]
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