(1+х)²

To expand (1+x)^2, you can use either the distributive property or the binomial formula.

Using the distributive property: (1+x)² = (1+x)(1+x) = 1(1) + 1(x) + x(1) + x(x) = 1 + x + x + x² = 1 + 2x + x²

Using the binomial formula: (1+x)² = 1² + 2(1)(x) + x² = 1 + 2x + x²

Both methods give the same result: (1+x)² = 1 + 2x + x².