### Home > INT2 > Chapter 10 > Lesson 10.1.3 > Problem10-37

10-37.

Multiply each of the following expressions. Homework Help ✎

1. $(x + i)(x - i)$

Sketch and label a square with four interior squares like the one at right.

Multiply each term together.
Do you see a way you can simplify them more?

$x^2 + 1$

1. $(x + 2i)(x - 2i)$

See steps for part (a).

2. Write the expression $x^2 + 25$ as a product.

Reverse what you did in parts (a) and (b).