The expansion of the given expression is x⁴ + 8x³ + 24x² + 32x + 16
What is the binomial expansion of (x + 2)⁴?
Remember that:
(a + b)² = a² + 2ab + b²
We can rewrite our expression as:
(x + 2)²*(x + 2)²
(x² + 4x + 4)(x² + 4x + 4)
Now solve that product.
(x² + 4x + 4)(x² + 4x + 4)
= x⁴ + 8x³ + 24x² + 32x + 16