Evaluate (100-(3*4)^2)/(2^2)

$\frac{100 - {(3 \cdot 4)}^{2}}{2^{2}}$

Step 1

Simplify the numerator.

Multiply $3$ by $4$ .

$\frac{100 - 12^{2}}{2^{2}}$

Raise $12$ to the power of $2$ .

$\frac{100 - 1 \cdot 144}{2^{2}}$

Multiply $- 1$ by $144$ .

$\frac{100 - 144}{2^{2}}$

Subtract $144$ from $100$ .

$\frac{- 44}{2^{2}}$

$\frac{- 44}{2^{2}}$

Step 2

Simplify the expression.

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

$\frac{- 44}{4}$

Divide $- 44$ by $4$ .

$- 11$

$- 11$

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