Simplify (5i)^2(-x+i)

${(5 i)}^{2} (- x + i)$

Step 1

Apply the product rule to $5 i$ .

$5^{2} i^{2} (- x + i)$

Step 2

Raise $5$ to the power of $2$ .

$25 i^{2} (- x + i)$

Step 3

Rewrite $i^{2}$ as $- 1$ .

$25 \cdot - 1 (- x + i)$

Step 4

Multiply $25$ by $- 1$ .

$- 25 (- x + i)$

Step 5

Apply the distributive property.

$- 25 (- x) - 25 i$

Step 6

Multiply $- 1$ by $- 25$ .

$25 x - 25 i$

Related Questions