Question

Use the Binomial Theorem Which of the following is equivalent to the expression (m + 3)4​

Answer 1

Answer:

Step-by-step explanation:

(x+a)^n=nc0x^n+nc1x^{n-1}a+nc2x^{n-2}a^2+...+ncna^n

(x+3)^4=4c0m^4+4c1m^3(3)+4c2m^2(3)^2+4c3m(3)^3+4c4(3)^4

4c0=1

4c1=4/1=4

4c2=(4×3}/(2×1)=6

4c3=(4×3×2)/(3×2×1)=4

4c4=(4×3×2×1)/(4×3×2×1)=1

(m+3)^4=m^4+4m³(3)+6m²(3)²+4m(3)³+3^4

=m^4+12m³+54m²+108m+81