1. The problem asks to find the expanded form of the expression $\left(x+5\right)^2$ using algebraic identities. 2. We use the identity for the square of a binomial: $$\left(a+b\right)^2 = a^2 + 2ab + b^2$$ 3. Here, $a = x$ and $b = 5$. Substitute these values into the formula: $$\left(x+5\right)^2 = x^2 + 2 \times x \times 5 + 5^2$$ 4. Simplify the terms: $$x^2 + 10x + 25$$ 5. Therefore, the expanded form of $\left(x+5\right)^2$ is $x^2 + 10x + 25$. 6. Among the given options, the correct answer is $x^2 + 10x + 25$. **MCQ:** What is the expanded form of $\left(x+5\right)^2$? A) $x^2 + 25$ B) $x^2 + 10x + 25$ C) $x^2 + 5x + 25$ D) $x^2 - 10x + 25$