Question

What is the binomial expansion of (m+2)^4

Answer 1

The expansion will have 5 terms with coefficients from row 4 of Pascal’s triangle.

Answer 2

(m+2)⁴ = ((m+2)²)²

= (m² + 4+ 2m)²

= m⁴ + 8 + 4m² + 8m² + 16m + 4m³ .........( (a+b+c)² = a²+b²+c²+2ab+2bc+2ac)

= m⁴ + 8 + 12m² + 16m + 4m³