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B

Step-by-step explanation:

Note that i² = - 1

Given

(4 - 6i)(6 - 8i) ← expand factors using FOIL

= 24 - 32i - 36i + 48i²

= 24 - 68i - 48

= - 24 - 68i → B

B . -24 - 68i

Step-by-step explanation:

First off you need to multiply 6 and i , then i and 1.

The answer is i

6 * i = 6i

Now for the second equation ,

Multiply i and 8

8 * i = 8i

This equation is very simple, it is binomials because it is stuff you learned in middle 8th grade most likely.

So apply the F.O.I.L method

First two terms:

4 * 6 = 24

Now the Outer terms:

4 * -8i = -32i

Now the inner terms:

-6i * 6 = -36i

-32i combines with -36i and makes -68i

Now the Last two terms:

-6i * -8i

-48i²

So (4-6i)*(6-8i) is 24 - 68i + 48i²

Now simplify:

-68i cannot be simplified, so we will just leave as is.

The value i² in 48i² can be simplified to -1

So 48i² becomes -48

24 combines with -48 gets -24

Therefore, your final answer is B. -24 - 68i

step-by-step explanation:

a rhombus is a parallelogram enjoying his symmetry.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8