All categories

2 years ago

Please help me solve this LCM

Mathematics

1 answer:

hodyreva [135]2 years ago

7 0

Note that

$x^2 - y^2 = (x - y) (x + y)$

and

$x^2 + 2xy + y^2 = (x + y)^2$

Then their LCM is $\boxed{x + y}$ .

You might be interested in

What is a volume, and how is it measured?

dangina [55]

Volume is length x width x height. It measures how much space it can hold inside of a shape.

8 0

3 years ago

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

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.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0

2 years ago

Help me pls I need help asap

Aliun [14]

These two angles are corresponding angles, so x = 136 degrees

8 0

3 years ago

Find each product.Is it an enlargement or reduction?

allsm [11]

Yessss that should be correct

4 0

3 years ago

Each unit costs 14p how much does942 cost???????????????????????????????????????????????????????????????????????????????????????

Fynjy0 [20]

Answer:

13188

Step-by-step explanation:

7 0

3 years ago

Please help me solve this LCM​

Please help me solve this LCM