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
sukhopar [10]
2 years ago
6

Explain how to find the product of the sum and difference of two terms. Give an example with your explanation.

Mathematics
1 answer:
hjlf2 years ago
8 0
Given two terms a, b.
Sum of terms = a+b
Difference of terms = a-b
Product of sum and difference (do not forget parentheses)
=(a+b)(a-b)
which can be expanded as=a^2-b^2

We can make use of this property to calculate with lightning speed, assuming you know the squares of numbers.

For example,
8*6=(7+1)(7-1)=7^2-1^2=48
9*7=(8+1(8-1)=8^2-1^2=64-1=63
5*15 = (10+5)(10-5)=10^2-5^2=75
22*18=(20+2)(20-2)=20^2-2^2=400-4=396
63*57=(60+3)(60-3)=60^2-3^2=3600-9=3591
128*112=(120+8)(120-8)=120^2-8^2=14400-64=14336
We can go on and on!
You might be interested in
A dilation maps the point (24,36) to (16,24). The scale factor of the dilation is
Vika [28.1K]

Answer:

The scale factor of the dilation is 2/3

Step-by-step explanation:

point (24,36) to (16,24)

16/24 = 2/3

24/36 = 2/3

Answer

The scale factor of the dilation is 2/3

7 0
3 years ago
Sum of numbers 12-111
liubo4ka [24]

Answer:

12-111=-99

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 3.63 m/s. Four seconds later,
castortr0y [4]

From the moment the friend passes the bicyclist, his friend covers a distance over time t of (3.63 m/s)*t.

The bicyclist covers a distance of 1/2*(2.11 m/s^2)*t^2. They meet when these distances are equal:

3.63 t = 1.055 t^2  ==>  1.055 t^2 - 3.63 t = 0

==>  t = 0 s   or   t = 3.44 s

5 0
2 years ago
I’m honestly done with math
rewona [7]

Answer:

15.

Step-by-step explanation:

8x - 10 = 110    (vertical angles are equal in measure).

8x - 10+ 10 = 110 + 10

8x = 120

x = 120 /8

x = 15.

3 0
3 years ago
a stock has a price of $58.63. This is $5.92 less than the price of stock yesterday. Write and solve an equation to find the pri
masha68 [24]

Answer:

$52.71

Step-by-step explanation:

Today's price= $58.63

Yesterday's price= y

Difference= $5.92

y+5.92 = 58.63

y = 58.63 - 5.92

= $52.71

8 0
3 years ago
Other questions:
  • 1 Linda is designing a circular piece of stained glass with a diameter of 7 inches. She is going to sketch a square inside the c
    11·1 answer
  • Somone help meeeeeeeee
    8·2 answers
  • use the fact that 147*16=2352 to write two different multiplication facts that have a product of 2352
    8·1 answer
  • Find the sum 9/10 + 4/100 =?
    10·1 answer
  • Does this graph represent a function? Why or why not?
    7·1 answer
  • Christel wants to know what the most popular color at her school is. She surveys 5 boys and 5 girls from each class.
    7·2 answers
  • Help me pleaseeee I would be happy
    10·1 answer
  • I will mark you as the brainiest if you get this correct<br> Thx so much xxx
    11·1 answer
  • A water tank already contains 56 gallons of water in Baxter begins to fill it. water flows into the tank at a rate of 8 gallons
    8·1 answer
  • One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!