Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).(2−7i)2(2-7𝑖)2 =

Question

Perform the indicated operation & simplify. Express the answer in terms of i (as a complex number).

$(2-7i)^2$

🧐 Not the exact question you are looking for?Go ask a question

Solution

To simplify the expression (2-7i)^2, follow these steps:

Step 1: Write down the expression (2-7i)^2

Step 2: Expand the expression using the formula (a-b)^2 = a^2 - 2ab + b^2 = (2)^2 - 2*(2)(7i) + (7i)^2

Step 3: Simplify the expression = 4 - 28i + 49i^2

Step 4: Remember that i^2 = -1 = 4 - 28i - 49

Step 5: Combine like terms = -45 - 28i

So, (2-7i)^2 = -45 - 28i.

Similar Questions

Write an expression for the sequence of operations described below.add the product of c and b to dDo not simplify any part of the expression.

Write an expression for the sequence of operations described below.d less than the sum of b and c

For expression 7 * 3 + 4 / 27 * 3 + 4 / 2, in which order are the operations evaluated?

Write an expression for the sequence of operations described below.subtract a from the difference of b and c

Write an expression for the sequence of operations described below.multiply q by s, then add r to the result

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.