Evaluate (42)^2-(22)^2

${(4 \cdot 2)}^{2} - {(2 \cdot 2)}^{2}$

Simplify each term.

Multiply $4$ by $2$ .

$8^{2} - {(2 \cdot 2)}^{2}$

Raise $8$ to the power of $2$ .

$64 - {(2 \cdot 2)}^{2}$

Multiply $2$ by $2$ .

$64 - 4^{2}$

Raise $4$ to the power of $2$ .

$64 - 1 \cdot 16$

Multiply $- 1$ by $16$ .

$64 - 16$

$64 - 16$

Subtract $16$ from $64$ .

$48$

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