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sukhopar [10]
3 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:
hjlf3 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!
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I need help please help
vesna_86 [32]

Answer:

C. (x-2)^2=7

Step-by-step explanation:

What you have to do first is to get rid of the 3 in the x^2 so you will divide 3 by the whole thing to get x^2-4x=3.

You will then divide -4 by 2 and then square the answer to get 4.

You will then add the 4 into the end of the equation and to the 3 to get x^2-4x+4=7.

You will then make into a perfect square (x-2)^2=7 and that is your answer.

5 0
3 years ago
Your work or words should justify your answer (explain how you know). As a math teacher, Josie frequently makes photocopies of f
Doss [256]

Answer:

Yes, because by dividing x by his equivalent y, you find a constant of proportionality being 10.

x / y = 10

Step-by-step explanation:

20 / 2 = 10

50 / 5 =10

60 / 6 = 10

70 / 7 = 10

7 0
3 years ago
A square has an area of 150 square centimeters. Which of the
Sergio [31]

Answer:

C) 12.2 cm

Step-by-step explanation:

To find the area of a square, you multiply length and width, which for a square, are the same. So to find the length of one of its sides, you have to take the square root of the area.

L^{2} = 150\\\\L=\sqrt{150} \\L= 12.2\\

7 0
3 years ago
The perimeter of a rectangular garage is 28 m it is 5 m wide how long is it
Ronch [10]

Answer:

The garage is 9 m long.

3 0
3 years ago
A(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x-x-10 What is a+b?
igor_vitrenko [27]

a(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x^2-x-10

(x+1)(a(x-1)+b(x-2)+(x+1))=(x+1)(9x-10)

a(x-1)+b(x-2)+x+1=9x-10

Now this equation is much simpler!

(a+b)x-a-2b+x+1=9x-10

(a+b)x-a-2b=8x-11

(a+b-8)x-a-2b-11=0

a+b-8=(a+2b-11)/x

I can't solve it 3 variables and 1 equations means infinite answers so yea.

4 0
3 years ago
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