Answer:
Please check the explanation.
Step-by-step explanation:
[tex]f = \binom{ - 2}{4} \: and \: g = \binom{3}{ - 1} [/tex]
a)
[tex] - 2g \: = - 2 \binom{3}{ - 1} = \binom{ - 2 \times 3}{ - 2 \times - 1} = \binom{ - 6}{2} [/tex]
b)
[tex]f + 3g = \binom{ - 2}{4} + 3 \binom{3}{ - 1} = \binom{ - 2}{4} + \binom{9}{ - 3} = \binom{7}{1} [/tex]
[tex]f + 3g = \binom{7}{1} [/tex]
c)
[tex]2f - 4g = 2 \binom{ - 2}{4} - 4 \binom{3}{ - 1} = \binom{ - 4}{8} - \binom{12}{ - 4} = \binom{ - 16}{12} [/tex]
[tex]2f - 4g = \binom{ - 16}{12} [/tex]