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Deffense [45]
3 years ago
8

Factor: a^2+b^2–c^2+2ab

Mathematics
2 answers:
Kruka [31]3 years ago
6 0

Rearrange the polynomial:

a^2–2ab+b^2 - c^2

((a-b)(a-b))-c^2

(a-b)^2-c^2

Set x =a-b and y=c. The formula becomes

x^2-y^2

factoring this polynomial, we get

(x+y)(x-y)

Substituting back, we get:

(a+b+c)(a+b-c)

Let’s multiply it out to check:

A^2 -ab ac

- ab B^2 -bc

-ac bc -c^2

Mrac [35]3 years ago
3 0

Answer:

  • (a + b + c)(a + b - c)

Step-by-step explanation:

<u>Use of formula:</u>

  • (a+b)^2 = a^2 + 2ab + b^2
  • a^2 - b^2 = (a + b)(a - b)

<u>Factoring the expression</u>

  • a^2 + b^2 – c^2 + 2ab =
  • (a^2 + 2ab + b^2) - c^2 =
  • (a + b)^2 - c^2 =
  • (a + b + c)(a + b - c)
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People use water to cook, clean, and drink every day. An estimate of 15.5% of the water used each
Studentka2010 [4]

Answer:

260 gallons

Step-by-step explanation:

An estimate of 26.5​% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning​,

Percentage of water used for cleaning= 26.5%

Gallons of water used for cleaning= 68.9

Let the number of gallons used everyday be represented by g. This will give:

26.5% of g = 68.9

26.5/100 × g = 68.9

0.265 × g = 68.9

0.265g = 68.9

Divide both side by 0.265

0.265g/0.265 = 68.9/0.265

g= 260

260 gallons of water are used everyday

5 0
3 years ago
50 men working 10 hours daily can complete a job in
Sliva [168]

<h2>Given :-</h2>

  • 50 men do 10 hours work daily complete work in 20 days

  • 80 men do job in 50% time

<h2>To Find :-</h2>

  • Days required

<h2>Solution :-</h2>

  • 1 man may do job in (50 × 20) days =
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Now,

  • 80 man = 1000/80 = 12.5

Now,

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<h2>Hence</h2>

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8 0
2 years ago
2 times the difference between 49.5 and 37.5
Xelga [282]
I belive the answer would be....
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6 0
3 years ago
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Stells [14]

Answer:

2/3

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fraction of book already read = 1/3

fraction which represents whole book = 1 = 3/3

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