Question

$$(2 { \times }^{ 3 } - { \times }^{ 2 } -25 \times -12) \pm ( \times -4)$$

Answer

$$2*^4-^4+300+*4$$

Solution


Remove parentheses.
\[2{}^{3}-{}^{2}-25\times -12-\times -4\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2{}^{4}-{}^{2}-25\times -12-\times -4\]
Use Multiplication Distributive Property: \({(xy)}^{a}={x}^{a}{y}^{a}\).
\[2{}^{4}-{}^{2}{}^{2}-25\times -12-\times -4\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[2{}^{4}-{}^{4}-25\times -12-\times -4\]
Simplify  \(25\times -12\)  to  \(-300\).
\[2{}^{4}-{}^{4}-(-300)-\times -4\]
Simplify negative sign.
\[2{}^{4}-{}^{4}-(-300)-(-\times 4)\]
Remove parentheses.
\[2{}^{4}-{}^{4}+300+\times 4\]