Evaluate: 2 \times 2+3(4 \times 4-9 \times 2)-2

Expression: $2 \times 2+3\left( 4 \times 4-9 \times 2 \right)-2$

Multiply the numbers

$2 \times 2+3\left( 16-9 \times 2 \right)-2$

Multiply the numbers

$2 \times 2+3\left( 16-18 \right)-2$

Calculate the difference

$2 \times 2+3 \times \left( -2 \right)-2$

Multiplying a positive and a negative equals a negative: $\left( + \right) \times \left( - \right)=\left( - \right)$

$2 \times 2-3 \times 2-2$

Factor the expression

$2\left( 2-3-1 \right)$

Calculate the difference

$2 \times \left( -2 \right)$

Multiply the numbers

$-4$