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
Harlamova29_29 [7]
3 years ago
10

5a^2 -25b^2..Factorise fully​

Mathematics
2 answers:
Pani-rosa [81]3 years ago
8 0

\mathbb  \: \huge  \fbox {\blue{{ANSWER}}} \\  \\   \: \: \: \:\: \: \sf \:  \implies \: \:  \green {\fbox {5(a {}^{2}  - 5b {}^{2} )} }

→ Given equation : 5a² – 25b²

Apply formula for this : a²–b² = (a+b) (a-b)

5a² - 25b² = 5 • (a² - 5b²)

Factoring: a²- 5b²

Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 5 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \rightarrow \fbox{ \pink{5(a {}^{2}  - 5b {}^{2} )}}

djyliett [7]3 years ago
5 0

Answer:

= 5(a^2 - 5b^2)

Step-by-step explanation:

You might be interested in
You might need:
aleksley [76]

Answer: ummm

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
PLEASE HELP THIS IS DUE IN 1 HOUR!! I CAN GIVE BRAINLIEST! ILL GIVE 20 POINTS TOO!
inessss [21]

Answer:

The radius of the inner circle is 14 ft. Since the outer circle is 3 ft more than the inner circle, its radius is 17 ft. The circumference formula is 2(pi)radius (or 2(22/7)17 in this case). The circumference of the outer circle is 106.85 ft (or 106.9 if rounding). To find the difference, you would subtract the smallest FROM the greatest:

106.85 - 88 = 18.85 ft (or 18.9 if rounding)

8 0
2 years ago
Read 2 more answers
If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which
Inga [223]

Answer:

Step-by-step explanation:

the first ine make sense to me

if not right sorry

7 0
3 years ago
Solve for x if the Perimeter = 26<br> 14-2x<br> 2x + 1<br> 3x - 1
sergejj [24]

Answer:

x = 4

Step-by-step explanation:

<em>Perimeter of triangle = sum of all sides</em>

Side 1: 14 - 2x

Side 2: 3x - 1

Side 3: 2x + 1

<em>Perimeter= side 1 + side 2 + side 3</em>

26 = 14 - 2x + 3x - 1 + 2x + 1

26 = 14 - 1 + 1 - 2x + 3x + 2x

26 = 14 + 3x

3x = 12

x = 12/3

x = 4

!!

3 0
3 years ago
Please help this is my 3rd time asking :(​
Ainat [17]

Answer:

$6

Step-by-step explanation:

She bought a toy for 4 dollars, so we need to subtract that from 88. This gives us 84 dolalrs. She bought 8 shirts and 6 pants, which is 14 items total. Divide 88 by 14 and you get 6.

Hope that helps :)

4 0
2 years ago
Read 2 more answers
Other questions:
  • Kyle a used 10 cups of raisins to make 5 batches of oatmeal raisin cookies. How many cups of raisins are in 1 batch of cookies?P
    9·2 answers
  • What is the solution to the system? <br> y=9×+5<br> y=9×-7
    9·1 answer
  • I NEED ASAP PLS ONLY RIGHT ANSWERS!!! (24 pts!)
    15·2 answers
  • Pls answer 3e≤6 ....................<br><br> thx.
    7·1 answer
  • OMG GUYS HELP ASAP!!!! THIS IS MY HW ALSO!
    11·1 answer
  • Diviseur de 63 et 67
    14·2 answers
  • Find the difference 18-15
    14·2 answers
  • Make n the subject of the formula. M=7n
    8·2 answers
  • Can someone help me find AC​
    13·1 answer
  • Are there always multiple ways of transforming one image to another
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!