Evaluate: (x+3)^2

Expression: ${\left( x+3 \right)}^{2}$

Write as a product

$\left( x+3 \right) \times \left( x+3 \right)$

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

$x \times x+3x+3x+3 \times 3$

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

${x}^{2}+3x+3x+3 \times 3$

Multiply the numbers

${x}^{2}+3x+3x+9$

Collect like terms

${x}^{2}+6x+9$