Answer:
15i
Step-by-step explanation:
(-2+i)(3-6i)
Use the FOIL method then combine the real and imaginary parts of the expression.
(-2+i)(3-6i)
-2 (-3-6i) + i (3-6i)
-2 * 3 - 2 (-6i) + i (3-6i)
-2 * 3 - 2 (-6i) + i * 3 + i (-6i)
-6 + 12i + 3i + 6
0 + 12i + 3i = 12i + 3i = 15i
The simplification form of the complex expression (-2 + i)(3- 6i) is 15i here i is the iota option (B) 15i is correct.
It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that:
The complex expression is:
= (-2 + i)(3- 6i)
The expression can be defined as the combination of constants and variables with mathematical operators.
Use the distributive property:
= -6 + 12i + 3i - 6i²
Here i is the iota:
i² = -1
= -6 + 12i + 3i - 6(-1)
= -6 + 12i + 3i + 6
= 15i
Thus, the simplification form of the complex expression (-2 + i)(3- 6i) is 15i here i is the iota option (B) 15i is correct.
Learn more about the complex number here:
brainly.com/question/10251853
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