Answer
$4x^2 + 4x + 1$
Work Step by Step
Rewrite the expression as a product of two binomials:
$(2x + 1)(2x + 1)$
Expand the expression by multiplying the terms within them according to the FOIL method, meaning the first terms are multiplied first, then the outer, then the inner, and, finally, the last terms:
$(2x)(2x) + (2x)(1) + (1)(2x) + (1)(1)$
Multiply to simplify:
$4x^2 + 2x + 2x + 1$
Combine like terms:
$4x^2 + 4x + 1$
