Basic Math Examples

$4 {(t^{3})}^{2} + 6 (t^{3}) - 8$

Step 1

Multiply $6$ by $t^{3}$ .

$4 {(t^{3})}^{2} + 6 t^{3} - 8$

Step 2

Factor $2$ out of $4 {(t^{3})}^{2} + 6 t^{3} - 8$ .

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Step 2.1

Factor $2$ out of $4 {(t^{3})}^{2}$ .

$2 (2 {(t^{3})}^{2}) + 6 t^{3} - 8$

Step 2.2

Factor $2$ out of $6 t^{3}$ .

$2 (2 {(t^{3})}^{2}) + 2 (3 t^{3}) - 8$

Step 2.3

Factor $2$ out of $- 8$ .

$2 (2 {(t^{3})}^{2}) + 2 (3 t^{3}) + 2 (- 4)$

Step 2.4

Factor $2$ out of $2 (2 {(t^{3})}^{2}) + 2 (3 t^{3})$ .

$2 (2 {(t^{3})}^{2} + 3 t^{3}) + 2 (- 4)$

Step 2.5

Factor $2$ out of $2 (2 {(t^{3})}^{2} + 3 t^{3}) + 2 (- 4)$ .

$2 (2 {(t^{3})}^{2} + 3 t^{3} - 4)$

Step 3

Multiply the exponents in ${(t^{3})}^{2}$ .

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Step 3.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$2 (2 t^{3 \cdot 2} + 3 t^{3} - 4)$

Step 3.2

Multiply $3$ by $2$ .

$2 (2 t^{6} + 3 t^{3} - 4)$