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
WhAts the answer to 5?
Paha777 [63]
I think its b but i am not surely sure so you might want to check with someone else
3 0
3 years ago
Read 2 more answers
Write a slope intercept form equation through given points . (18, 14), (-6, -19)
Kobotan [32]

Answer:

y-14=11/8(x-18)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-19-14)/(-6-18)

m=-33/-24

m=33/24

simplify

m=11/8

y-14=11/8(x-18)

6 0
3 years ago
Find the distance between the pair of points (-3, 1) and (2, 1)
BARSIC [14]
The answer to your question is 5
3 0
3 years ago
Read 2 more answers
The six frames show a shapes different positions. Select the description that describes how the shape moves to get from its posi
Dima020 [189]

Answer:

The correct option is;

Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left

Step-by-step explanation:

The motion of the shape are

1) The shape is moved up from the initial position

2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock

3) The shape then moves two motion of coming down and moving right in one step

4) The shape is then rotated 90 degrees in the clockwise direction

5) In the final step, the shape is moved left.

6 0
3 years ago
What would you have to do to change 10 cubic feet into cubic inches?
Alina [70]

A. Divide by 46,656

B. Multiply by 1,728

C. Divide by 1,728

D. Multiply by 46,656

THE ANSWER IS B MULTIPLY BY 1,728


5 0
3 years ago
Other questions:
  • Identify the expression equivalent to 4(x+x+y)-2x+8+4 by substituting x=1 and x=2
    9·1 answer
  • Month 0 1 2 3 length 5 6 7 8 input output table graph
    11·1 answer
  • A shipping container can hold a maximum of 3,000 pounds of cargo how many 150 lb boxes can go inside the container?
    5·1 answer
  • In ms. Perron’s class, 75%of students are boys. There are 18 boys in the class. What is the total number of students in ms. Perr
    12·1 answer
  • Jodie measure a house and its pot and made a scale drawing. The scale of the drawing was 2 inches : 1 foot. If the actual length
    6·2 answers
  • Please help asap 15 points
    12·2 answers
  • John has a part-time job. He is payed £6.80 per hour. This week he worked for 9 and a half hours. Work out John's total pay for
    14·1 answer
  • 5. Higher Order Thinking Explain how to
    15·1 answer
  • Here are some cards with angles written on them.
    14·2 answers
  • A small airplane can carry less
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!