, 10.01.2020stodd9503

# Which pair of complex numbers has a real-number product? de de llegada de ti (1 + 3)(61) (1 + 3)(2 – 31) (1 + 31)(1 – 31) (1 + 31)(3) dgray4410
The answer is (1 + 3i)(1 – 3i). arixox

we will proceed to verify each case to determine the solution

remember that case A) applying distributive property  ------> is not a real number

therefore

the case A) is not a real number product

case B) applying distributive property  ------> is not a real number

therefore

the case B) is not a real number product

case C) applying difference of square  ------> is a real number

therefore

the case C) is  a real number product

case D) applying distributive property  ------> is not a real number

therefore

the case D) is not a real number product  reaperdraws

Step-by-step explanation:

the complex number and its conjugate naiomireyes74p2aybs

calculating each of the products

noting that i² = (√- 1 )² = - 1

(1 + 2i)(8i) ( distribute by 8i )

= 8i + 16i² = - 16 + 8i ← complex number

(1 + 2i)(2 - 5i) ( expand using FOIL )

= 2 - 5i + 4i - 10i²

= 2 - i + 10 = 12 - i ← complex number

(1 + 2i)(1 - 2i) ( expand using FOIL )

= 1 - 2i + 2i - 4i²

= 1 + 4 = 5 ← real number

(1 + 2i)(4i) ( distribute by 4i )

= 4i +8i² = - 8 + 4i ← complex number

(1 + 2i)(1 - 2i) is the only product which results in a real number josephnievesr31

(1+3i)(1-3i)

Step-by-step explanation: tink921

(1+2i)(1-2i)

Step-by-step explanation:

Following are the pairs of the complex number:

(1+2i)(8i),

(1 + 2i)(2 – 5i)

(1+2i)(1-2i) and (1+2i)(4i)

We have to check which pair out of these is a real number product, which means which pair do not contain terms consisting of "i".

A. = B. = C. = D. = Since, A,B,D contains the term "i" which means they are not real valued, therefore option C that is (1+2i)(1-2i) has a real number product. shelbylowery789

(1+2i)(1-2i)

Step-by-step explanation: nxusasmangaliso1191
(1 + 3i)(1 – 3i) gives real number product

Step-by-step explanation:

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