Evaluate (4.9(4.1)^2-4.9(4)^2)/0.1

$\frac{4.9 {(4.1)}^{2} - 4.9 {(4)}^{2}}{0.1}$

Step 1

Simplify the numerator.

Raise $4.1$ to the power of $2$ .

$\frac{4.9 \cdot 16.81 - 4.9 \cdot 4^{2}}{0.1}$

Multiply $4.9$ by $16.81$ .

$\frac{82.369 - 4.9 \cdot 4^{2}}{0.1}$

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

$\frac{82.369 - 4.9 \cdot 16}{0.1}$

Multiply $- 4.9$ by $16$ .

$\frac{82.369 - 78.4}{0.1}$

Subtract $78.4$ from $82.369$ .

$\frac{3.969}{0.1}$

$\frac{3.969}{0.1}$

Step 2

Divide $3.969$ by $0.1$ .

$39.69$

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