Question

$$\left. \begin{array} { l } { \frac { - 8 + ( - 5 ) \times ( - 8 ) - ( - 6 ) } { - 3 + ( - 8 \right.$$

Answer

$$-152*ENTREFORM*Ad*mNo*e*v*a^2*l*u*t*m*k*s$$

Solution


Simplify  \((-5)\times (-8)\)  to  \(40\).
\[ENTREFORM\times 4AdmNovaluate\times \frac{-8+40-(-6)}{-3-8+2\times 4}\times 3mks\]
Remove parentheses.
\[ENTREFORM\times 4AdmNovaluate\times \frac{-8+40+6}{-3-8+2\times 4}\times 3mks\]
Simplify  \(-8+40\)  to  \(32\).
\[ENTREFORM\times 4AdmNovaluate\times \frac{32+6}{-3-8+2\times 4}\times 3mks\]
Simplify  \(32+6\)  to  \(38\).
\[ENTREFORM\times 4AdmNovaluate\times \frac{38}{-3-8+2\times 4}\times 3mks\]
Simplify  \(2\times 4\)  to  \(8\).
\[ENTREFORM\times 4AdmNovaluate\times \frac{38}{-3-8+8}\times 3mks\]
Simplify  \(-3-8\)  to  \(-11\).
\[ENTREFORM\times 4AdmNovaluate\times \frac{38}{-11+8}\times 3mks\]
Simplify  \(-11+8\)  to  \(-3\).
\[ENTREFORM\times 4AdmNovaluate\times \frac{38}{-3}\times 3mks\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{ENTREFORM\times 4AdmNovaluate\times 38\times 3mks}{-3}\]
Take out the constants.
\[\frac{(4\times 38\times 3)vaalutmksENTREFORMAdmNoe}{-3}\]
Simplify  \(4\times 38\)  to  \(152\).
\[\frac{(152\times 3)vaalutmksENTREFORMAdmNoe}{-3}\]
Simplify  \(152\times 3\)  to  \(456\).
\[\frac{456vaalutmksENTREFORMAdmNoe}{-3}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[\frac{456v{a}^{2}lutmksENTREFORMAdmNoe}{-3}\]
Regroup terms.
\[\frac{456ENTREFORMAdmNoev{a}^{2}lutmks}{-3}\]
Move the negative sign to the left.
\[-\frac{456ENTREFORMAdmNoev{a}^{2}lutmks}{3}\]
Simplify  \(\frac{456ENTREFORMAdmNoev{a}^{2}lutmks}{3}\)  to  \(152ENTREFORMAdmNoev{a}^{2}lutmks\).
\[-152ENTREFORMAdmNoev{a}^{2}lutmks\]