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IrinaVladis [17]
3 years ago
14

Can you please help me simplify (1+4i)^2

Mathematics
1 answer:
Roman55 [17]3 years ago
4 0

Answer:

−15+8i

Explanation:

First, you can expand the square of the bynomial:

(1+4i)2=1+8i+16i2

Since

i2=−1

the given expression becomes:

1+8i−16=−15+8i

You might be interested in
Find the sum of the interior angle measures of the green polygon,
Radda [10]

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

Sum\ of\ interior\ angles = (n-2)*180

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

Sum = (7-2)*180 = 5*180 = 900

Hence,

The sum of interior angles of given polygon is 900°

7 0
3 years ago
Joy is training for a triathlon. she runs a distance of 2x miles, cycles a distance of (x2 7) miles, and swims a distance of (x
solong [7]

The simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

<h3>What is an expression?</h3>
  • An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.

To find the simplified expression:

Given -

  • Distance cycled = x² + 7 miles
  • Distance ran = 2x miles
  • Distance swam = x - 2 miles

Thus,

  • Total distance she covers = x² + 7 + 2x + x - 2
  • Total distance = x² + 3x + 5 miles

Therefore, the simplified expression that is equivalent to the total distance, in miles, Joy covers is (A) x² + 3x + 5 miles.

Know more about expressions here:

brainly.com/question/723406

#SPJ4

The complete question is given below:
Joy is training for a triathlon. She runs a distance of 2x miles, cycles a distance of (x2 + 7) miles, and swims a distance of (x - 2) miles. Which simplified expression is equivalent to the total distance, in miles, Joy covers?

(A) x2 + 3x + 5

(B) x2 + 3x + 9

(C) 3x2 + 5

(D) 3x2 + 9

3 0
1 year ago
Read 2 more answers
Jake recorded a special album in honor of mother’s da. His mom was so excited she purchased 40% of the copies in the store . She
iris [78.8K]

Answer:

40% of 80

= 32

Step-by-step explanation:

First there are 80 Copies.

Jake's mother Purchased 40% of them

40% of 80

= 32



7 0
3 years ago
4. f(x)=-x?-11x – 28
alex41 [277]

Answer:

-17

Step-by-step explanation:

f(-x)-11x-28

-11(-1)-28

11-28

-17

6 0
4 years ago
Multiply the binomials (5x − 1) and (2x − 8).
Umnica [9.8K]

Answer:

10X^2-42X+8=0

Step-by-step explanation:

Multiply all whats inside the brackets, i.e 5x*2x = 10^2

and 5x*8 =40x and -1*2x =-2x

add that you get -42x

AND Finally

-1*-8 = 8

4 0
3 years ago
Read 2 more answers
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