Simplify xi(i-7i)^2

$x i {(i - 7 i)}^{2}$

Subtract $7 i$ from $i$ .

$x i {(- 6 i)}^{2}$

Simplify the expression.

Apply the product rule to $- 6 i$ .

$x i ({(- 6)}^{2} i^{2})$

Raise $- 6$ to the power of $2$ .

$x i (36 i^{2})$

$x i (36 i^{2})$

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

$x i (36 \cdot - 1)$

Multiply $36$ by $- 1$ .

$x i \cdot - 36$

Move $- 36$ to the left of $x i$ .

$- 36 x i$

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