Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,Simplify the expressions and match them with their solutions

Answer 1

If we have:

Then, the first option must be matched with -20. That is:

`(2+5i)^2-20i+1=-20_{}_{}`

In this question, we need to be careful with the value of i^2 = -1, and we also need to expand the quadratics in every given expression.

2. For the next expression, we have:

`(4+i)(-4+i)+17=0`

3. For the next expression, we have:

`(3+2i)^2-(2+3i)^2=10`

4. The result for the next expression is:

`2i(5+4i)-5(3+2i)=-23`

5. The result for the next expression is:

`(-2i)^4+(3i)^3+(27i)=16`