Question

$$(17- { 5 }^{ 2 } ) \times (2+13)/5+12=$$

Answer

-12

Solution


Simplify  \({5}^{2}\)  to  \(25\).
\[(17-25)\times \frac{2+13}{5}+12\]
Simplify  \(17-25\)  to  \(-8\).
\[-8\times \frac{2+13}{5}+12\]
Simplify  \(2+13\)  to  \(15\).
\[-8\times \frac{15}{5}+12\]
Use this rule: \(a \times \frac{b}{c}=\frac{ab}{c}\).
\[-\frac{8\times 15}{5}+12\]
Simplify  \(8\times 15\)  to  \(120\).
\[-\frac{120}{5}+12\]
Simplify  \(\frac{120}{5}\)  to  \(24\).
\[-24+12\]
Simplify.
\[-12\]