expand (2x+1)^2 — step-by-step solution

Let's expand:

{(2 x + 1)}^{2}

(2 x + 1) \cdot (2 x + 1)

2 \cdot x \cdot 2 \cdot x

+ 2 x \cdot 1

+ 1 \cdot 2 x

+ 1 \cdot 1

ℹ

2 \cdot 2

4

‖

x \cdot x

x^{2}

‖

2 x \cdot 1

2 x

‖

1 \cdot 2 x

2 x

‖

1 \cdot 1

1

4 x^{2}

+ 2 x

+ 2 x

+ 1

▷Result: $4 x^{2} + 4 x + 1$