Answer :

The given expression has to be expanded and evaluated. The given expression is FA1 for[tex]L1 FA1 a a 1+ FA2 for L2 FA2 3 a CO b b b b b a a 2 a 4 OS + b.[/tex]

[tex]FA3 for L1 + L2[/tex]:

It is given that FA1 for [tex]L1 = a + b, FA1 a a 1 = 2a[/tex], FA2 for[tex]L2 = 3a + 4b, FA2 3 a CO b b b b b a a 2 a 4 OS = 3a + 5b[/tex]. Substituting the given values in the expression, we have:

[tex]FA3 for L1 + L2 = (FA1 for L1) (FA1 a a 1) + (FA2 for L2) (FA2 3 a CO b b b b b a a 2 a 4 OS) + b[/tex]
[tex]FA3 for L1 + L2 = (a + b) (2a) + (3a + 4b) (3a + 5b) + b[/tex]
[tex]FA3 for L1 + L2 = 2a2 + 3a2 + 15ab + 12b2 + 2ab + b[/tex]
[tex]FA3 for L1 + L2 = 5a2 + 17ab + 12b2 + b[/tex]
[tex]FA3 for L1 + L2 is 5a2 + 17ab + 12b2 + b.[/tex]
FA1 for L1:

It is given that FA1 for[tex]L1 = a + b.[/tex]

FA1 for L1 is a + b.

Answer:

FA3 for L1 + L2 is 5a² + 17ab + 12b² + b and FA1 for L1 is a + b.

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