(4 – 2i)(6 + 2i)
Use FOIL
First: 4 multiplied by 6 equals 24
Outer: 4 times 2i gives 8i
Inner: -2i times 6 results in -12i
Last: -2i times 2i equals -4i², which simplifies to 4
Combine the results
24 + 8i - 12i + 4
Final result: 28 - 4i
The answer is: 28 - 4i
Which equivalent fraction corresponds to

? -

since

-

as

and

-
because
and 
-
since 
The answer is
-
because
and 
A fraction is deemed equivalent if it maintains the same value when expressed in simplest terms. The equivalent to
is found in the chosen option;
First, halve both the numerator and denominator by 2

Then reduce further
2/2 = 1 and 6/2 = 3; Thus;

Next, multiply both the numerator and denominator by 3

Therefore,
equals
.
Answer:
The term 6x should actually be 6x²
Step-by-step-explanation:
The illustration referenced, which depicts the multiplication of the trinomial with the binomial, is provided in the image below.
To identify where Chin's multiplication went wrong and to establish the correct expression, we'll analyze each multiplication performed. Therefore, we have:
3x*x² = 3x³
3x*2x = 6x² (the mistake occurred here, as Chin recorded it as 6x in the chart)
3x*4 = 12x
2*x²=2x²
2*2x = 4x
2*4 = 8
Thus, the term 6x should indeed be corrected to 6x²
x = -2. Detailed explanation: The slope of line l is determined to be 3. We want the line that connects points J and K to also have a slope of 3. For this, we calculate: -8 - (-5) = 3 (which is equivalent to x - (-1)). Cross-multiplying allows us to find 'x': 3(x + 1) = -3, leading to 3x + 3 = -3. By isolating x, we find 3x = -6, therefore x = -2.
Solution:
the calculations are illustrated and displayed