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
Yuki888 [10]
3 years ago
15

Show that (x+5)^2-(x-5)^2=20x

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

formula \: to \: be \: used:  \\ \boxed{  \boxed{ {a}^{2} -  {b}^{2}   = (a + b)(a - b)}} \\  \\  {(x + 5)}^{2}  -  {(x - 5)}^{2}  \\  \\  =  \{(x + 5)  +  (x - 5) \} \{(x + 5)   -   (x - 5) \}  \\  \\  =  \{x +  \cancel5  +  x -\cancel 5 \} \{\cancel x + 5   -  \cancel x  +  5 \} \\  \\  =  \{2x \} \{10 \} \\  \\  = 20x \\  \\  \therefore \:  {(x + 5)}^{2}  -  {(x - 5)}^{2} = 20x \\ thus \: proved

You might be interested in
I am confused about the order to go about doing this problem because I tried multiplying first and then dividing but my answer w
guajiro [1.7K]
50÷(-25)x(4)
50/-25= -2
-2 x 4= -8 
Sorry I realized I put 24 Oops...
But Ctapia037 is right. 
7 0
3 years ago
Read 2 more answers
What is the measure of angle b​
Anvisha [2.4K]

Answer:

34

Step-by-step explanation:

A triangle will add up to a degree of 180, so if you add those 2 angles then subtract it from 180 you will get the answer. So, 115+31=146 then 180-146=34

So the answer is 34

5 0
3 years ago
Read 2 more answers
Whats 20 + 19 i need help
NikAS [45]

Answer:

39

Step-by-step explanation:

Just add

7 0
3 years ago
Im bored someone interact with me lol
lana66690 [7]

Answer:

oki wsp

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Make B the subject of the relation : 1/a is equal to 1/b + c​
stealth61 [152]

Answer:

By making ‘a’ the subject, I believe you mean isolate the variable ‘a’.

1/a - 1/b = 1/c : add 1/b to both sides

1/a = 1/b + 1/c : combine the unlike fractions by finding a common denominator, bc is the common denominator

1/a = (1/b)(c/c) + (1/c)(b/b) : simplify

1/a = (c/bc) + (b/bc) : add numerators only, because the denominators match

1/a = (c + b)/bc : multiply both sides by a

1 = (a)[(c + b)/bc] : multiply both sides by the reciprocal of [(c + b)/bc] which is [bc/(b + c)]

1[bc/(b + c)] = a

a = bc/(b + c)

This will not work if c = -b, because then you would be dividing by zero.

Example: 1/2 - 1/3 = 1/6 a = 2, b = 3 c= 6

a = bc/(b + c) => 2 = (3 x 6)/(3 + 6) => 2 = 18/9 => 2 = 2.

Step-by-step explanation:

4 0
4 years ago
Other questions:
  • How to solve this equation for y. need assistance please.<br> y-260=-11/5(x-100)
    14·1 answer
  • Frank's Auto Corner recorded its sales for the second quarter (April, May and June) of 1999. April sales were 89 cars, May sales
    8·1 answer
  • Which triangle has no sides lengths of equal length
    7·2 answers
  • I NEED HELP ASAP PLEASE PLOT IT
    8·1 answer
  • Kaylie had $1250 in her saving account. She withdrew $82 each month in order to pay for a summer vacation. How much did Kaylie h
    6·1 answer
  • LeAnn wants to.giftwrap a present she got for her little brother. How many square inches of.giftwrap will be needed to cover a b
    11·2 answers
  • Cant figure this out
    11·1 answer
  • A polygon has vertices whose coordinates are A(1, 4), B(4, -1), C(-1, -4), and D(-4, 1). Use the midpoint formula to determine w
    13·1 answer
  • The difference of two numbers is 1<br> and their product is 56.<br> What are the two numbers ?
    8·1 answer
  • Robbie owns 15% more movies than Rebecca, and Rebecca owns 10% more movies than Joshua. If Rebecca owns 220 movies, how many mov
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!