Calculate: (x+1) * (x+1)

Expression: $\left( x+1 \right) \times \left( x+1 \right)$

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)

$x \times x+x+x+1$

The factor $x$ repeats $2$ times, so the base is $x$ and the exponent is $2$

${x}^{2}+x+x+1$

Collect like terms

${x}^{2}+2x+1$