Write the first three terms of the expansion.
-$\left( m ^ { 2 } + 6 \right) ^ { 9 }$
A) $m ^ { 18 } + 54 m ^ { 16 } + 1296 m ^ { 14 }$
B) $m ^ { 18 } + 60 m ^ { 16 } + 1296 m ^ { 14 }$
C) $m ^ { 18 } + 60 m ^ { 16 } + 2592 m ^ { 14 }$
D) $m ^ { 18 } + 54 m ^ { 16 } + 2592 m ^ { 14 }$

Question

Quizplus · Accepted Answer

The first three terms of the expansion of $(m^2 + 6)^9$ using the binomial theorem are $m^{18}$ (from $(m^2)^9$), $54m^{16}$ (from $9 \cdot (m^2)^8 \cdot 6$), and $1296m^{14}$ (from $\frac{9 \cdot 8}{2} \cdot (m^2)^7 \cdot 6^2$).

Write the First Three Terms of the Expansion (m2+6)9\left( m ^ { 2 } + 6 \right) ^ { 9 }(m2+6)9

Write the First Three Terms of the Expansion $\left( m ^ { 2 } + 6 \right) ^ { 9 }$