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Georgia [21]
3 years ago
6

Simplify the expression to a + bi form: (-11 - 7i) (2 +6i)

Mathematics
2 answers:
tester [92]3 years ago
5 0

( - 11 - 7i)(2 + 6i) \\  =  - 22 - 66i - 14i - 42 {i}^{2}  \\  =  - 22 - 80i + 42 \\  = 20 - 80i

I hope I helped you^_^

Rainbow [258]3 years ago
4 0

Answer:

20-80i

Step-by-step explanation:

(-11-7i)(2+6i)

-22-14i-66i-42i^2 where i^2=-1

-22-14i-66i-42(-1)

-22-14i-66i+42

-22+42-14i-66i

20-14i-66i

20-80i

Please mark me as Brainliest if you are satisfied with the answer.

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A $ 240 suit is maker down by 20% find the sale price
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if a company has 5 employees with annual saleries of $40,000, $50,000, $40,000, $60,000 and $90,000 what is the mean anulal sala
krek1111 [17]
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Find the exact value of COS 300°
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add the term that makes the given expression into a perfect square. write the result as the square of a bracketed expression c s
Molodets [167]
<h2>Perfect Squares</h2>

Perfect square formula/rules:

  • a^2+2ab+b^2=(a+b)^2
  • a^2-2ab+b^2=(a-b)^2

Trinomials are often organized like ax^2+bx+c.

The <em>b</em> value in this case is <em>c</em>, and it will always equal the square of half of the <em>b</em> value.

  • Perfect square trinomial: ax^2+bx+(\dfrac{b}{2})^2
  • or ax^2-bx+(\dfrac{b}{2})^2

<h2>Solving the Question</h2>

We're given:

  • c^2-4c

In a trinomial, we're given the ax^2 and bx values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:

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Therefore, the term that we can add is + 4.

c^2-4c+4

To write this as the square of a bracketed expression, we can follow the rule a^2-2ab+b^2=(a-b)^2:

(c-2)^2

<h2>Answer</h2>

c^2-4c+4

(c-2)^2

4 0
2 years ago
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