1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pickupchik [31]
3 years ago
11

Q.4 a) If a= x+y and b= x-y , show that I) (a+b)²= 4x² ii) ( a-b)²= 4y²​

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

Below.

Step-by-step explanation:

i) (a + b)^2 = a^2 + 2ab + b^2

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

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

=  x^2 + 2x^2 + x^2 + y^2 - 2y^2 + y^2 + 2xy - 2xy

= 4x^2.

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

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

= x^2 + 2xy + y^2 + x^2 - 2xy + y^2 - 2x^2 + 2y^2

=  x^2 + x^2 - 2x^2 + y^2 + y^2 + 2y^2 + 2xy - 2xy

=  4y^2.

You might be interested in
Find the compound interest compounded annually on rupees 2700 rate 6 ⅔% per annum and time is 2 years​
dalvyx [7]

<u>Answer:</u>

plz mark me as brainliest ...TOOK ME LONG TIME TO TYPE

answer = CI = 3108 RUPEES

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

i am doing the method in which u find the simple interest of first year then second year.

SI FOR 1ST YEAR= P X R X T / 100

SI = 2700 X 20 X 2 / 3 X 100   ( RATE OF INTEREST IS 20 / 3)

SI = 108000/300

SI = 360

SI FOR SECOND YEAR =

P = 2700 + 360= 3060

SI = 3060 X 20 X 2 / 300

SI= 122400 / 300

SI = 408

COMPOUND INTEREST (CI) = PRINCIPLE + SI OF 2ND YEAR

CI = 2700 + 408

CI = 3108 RUPEES

or u can solve be the method

CI = amount - principle

Amount= principle x (change in ratio) raised to time

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

6 0
3 years ago
Factorise B square minus 25 ​
GuDViN [60]

Answer: (b+5)(b-5)

Step-by-step explanation:

both b^2 and 25 are square numbers, so square root both of them to give b and 5, then put into brackets with a + and -

3 0
2 years ago
A bank offers a 6% annual interest rate for a savings account. Marcus puts $8,000 into an account to save for college. How much
GREYUIT [131]
Equation:
0.06(8000)+8000
We can make it simpler:
1.06(8000)
Multiply:
8480
MARCUS WILL HAVE $8480
7 0
3 years ago
Rosie bought a car for £4000.
vovangra [49]

Answer:

3.5%

Step-by-step explanation:

4000*3.5% =1400

4000-1400=2600 percentage rosie loss 3.5%

8 0
3 years ago
Help asap pls for brainliest!
Brut [27]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is 7 3/8 as a decimal
    11·2 answers
  • What is the slope of this graph?<br><br> −1/3<br><br> 3<br><br> 1/3<br><br> −3
    10·1 answer
  • Becky is making a necklace using blue beads and black beads. Complete the ratio table to find the number of blue beads she adds
    7·1 answer
  • 1. 9m = 81 m = ______<br><br>2. 75 = 3n n = ______<br><br>3. r ÷ 7 = 12 r =______
    13·1 answer
  • The radius of a spherical ball is measured at r = 25 cm. Estimate the maximum error in the volume and surface area if r is accur
    12·1 answer
  • the radius ???? of a sphere is expanding at a rate of 70 cm/min. The volume of a sphere is ????=43????????3 and its surface area
    6·1 answer
  • C<br>11cm<br>11cm<br>B<br>A<br>8cm<br>Construct the isosceles triangle ABC​
    15·1 answer
  • Find the slope and the y-intercept of the graph of y-2=-3/4x<br> .
    9·1 answer
  • A baker has 12 pounds of almonds. She puts them in bags, so that each bag has the same weight. Clare and Tyler drew diagrams and
    6·1 answer
  • A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!