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zhenek [66]
3 years ago
11

Factorize completely the expression(h+2k)²+4k²-h²​

Mathematics
2 answers:
slega [8]3 years ago
8 0

Answer:

\rm 4k(2k+ h)

Step-by-step explanation:

A expression is given to us and we need to factorise it . The given expression is ,

\rm\implies (h+2k)^2+4k^2-h^2

Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;

\rm\implies h^2+4k^2+4hk + 4k^2 - h^2

Simplify ,

\rm\implies 8k^2+4hk

In the above expression 4k is common in both the terms , so that ,

\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}

julsineya [31]3 years ago
5 0

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

Learn more here:brainly.com/question/12486387

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This one too I always get confused
otez555 [7]

Answer:

AHS

Step-by-step explanation:

Adjacent means same length and the opposiote sides angle is always the same one

4 0
3 years ago
A chord subtends an angle 120° at the centre of the circle of radius 3.5cm. Find the perimeter of the minor sector.[r=22/7]​
Mamont248 [21]

Answer:

Step-by-step explanation:as we know that arc length is

s=r*∅

as given angle in degree so  convert it in radian we get

angle=2.09 rad

r=3.5 cm

hence we get

s=3.5*2.09 =7.315 cm

perimeter of sector = s +d  where d=2*r=2*3.5=7 cm

perimeter of sector=7.315+7=14.315 cm

if you like it then hit the stars and tag it a brain-list

4 0
3 years ago
Dane są długości przyprostokątnych trójkąta prostokątnego .Oblicz długość jego przeciwprostokątnej .Do obliczeń możesz użyć kalk
Lina20 [59]

Answer:

26

75

37

82

145

34

Step-by-step explanation:

Hypotenuse of a right angle triangle from pythagoras theorem is given by

h²=b²+a²

Making h the subject

h=√(b²+a²)

Where h is hypotenuse, b is base and a is the other side of a triangle

10²+24²=676

√676=26 units

72²+21²=5625

√5625=75 units

12²+35²=1369

√1369=37 units

18²+80²=6724

√6724=82 units

105²+100²=21025

√21025=145 units

16²+30²=1156

√1156=34 units

5 0
2 years ago
A complex shape made of 2 rectangles. The top rectangle measures 4 centimeters by 4 centimeters. The bottom rectangle measures 6
agasfer [191]

Answer:I think 76

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Adhy, Ben and Clayson shared a bag of chocolates. The ratio of Adhy's share to Ben's share is 3:4 while
Ira Lisetskai [31]

Answer:   33

<u>Step-by-step explanation:</u>

The ratio of Adhy's to Ben's is 3:4 so let

Adhy = 3x

Ben = 4x

Since Ben = Adhy + 9

then   4x   =    3x    + 9

-->        x    =  9

So, Adhy = 3x  = 3(9)   = 27

     Ben   = 4x   = 4(9)   = 36

*************************************************************

The ratio of Ben's to Clayson's is 3:5

How do we get Ben's ratio of 3 equal to 36? <em>by multiplying by 12</em>

Ben  :  Clayson

<u>3 x 12</u>    <u>5 x 12</u>

 36          60

So, Clayson = 60

***********************************************************

The difference between Adhy and Clayson is:

Clayson - Adhy

   60     -    27    = 33

3 0
3 years ago
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