All categories

3 years ago

( a - b - c )^2 - ( b - c )^2 + 2ab - 2ac

Mathematics

1 answer:

BigorU [14]3 years ago

6 0

Answer:

a^2 + 4bc

Step-by-step explanation:

Step 1: Expand the equations individually:

$( a - b - c )^2 = a^{2} + b^{2} + c^{2} - 2ab + 2bc - 2ca \\(b-c)^2 = b^2 + c^2 - 2bc$

Step 2: Put them back together

$= a^{2} + b^{2} + c^{2} - 2ab + 2bc - 2ca - (b^2 + c^2 - 2bc) + 2ab - 2ac\\= a^{2} + b^{2} + c^{2} - 2ab + 2bc - 2ca - b^2 - c^2 + 2bc + 2ab - 2ac\\\\$

Step 3: Final Answer

$= a^{2} + 4bc$

You might be interested in

ملی

bonufazy [111]

Answer:

Rs 75,000

Step-by-step explanation:

Let the total value of property be x

If one-fifth of that is given to son

property with son = 1/5 of total value of property = 1/5 of x = x/5

If one-third of that is given to daughter

property with daughter = 1/3 of total value of property = 1/3 of x = x/3

remaining property after giving the portions to son and daughter

= total value of property - property with son -property with daughter

= x - x/5 - x/3

taking LCM of 5 and 3 (15)

= (15x - 3x - 5x)/15

= 7x/15

Given that remaining property was given to wife

property with wife = 7x/15

it is given that wife got 35000 Rs

thus,

7x/15 = 35,000

7x = 35,000*15 = 525,000

x = 525,000/7 = 75,000

Thus, total worth of property =Rs 75,000 Answer

4 0

4 years ago

Jesse recorded the temperatures at which two oils freeze: Oil Temperature Sesame oil −6.2 °C Peanut oil 3.1 °C Which statement a

AVprozaik [17]

Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C

Step-by-step explanation:

Given that:

Freezing point of sesame oil = - 6.2°C

Freezing point of peanut oil = 3.1°C

Comparing the two temperatures :

Freezing(when a substance turns to solid) usually occurs at low temperatures. The temperature of sesame oil(-6 2°C) is lower than that of peanut oil(3.1°C).

Hence, it can be concluded that Sesame oil freezes at lower temperature than peanut oil.

Mathematically,

-6.2°C < 3.1°C

6 0

3 years ago

Read 2 more answers

Bag contains 5 blue, 12 black, 6 red, and 7 green marbles. If one marble is chosen at random the probablity that it is NOT blue

Alex Ar [27]

Answer:

D. 5/6

Step-by-step explanation:

There are 30 marbles

If you add the black, red, and green marbles together, you get 25

25/30 is equivalent to 5/6

3 0

3 years ago

You have a bag that contains 20 quarters, 20 dimes, and 15 nickels. When randomly selecting two coins with no replacement find t

iogann1982 [59]

Answer:

P(2 quarters) = 19/ (13*16) = 19/208 = 0.0913

Step-by-step explanation:

probability of getting 2 quarters?

first draw: there are 20 quarters to choose from

second draw: there are 19 quarters left to choose

so Total coins are 65 coins

P(2 quarters) = P( 1st quarter)* P(2nd quarter)

P(2 quarters) = 20/65 * (19/64)

P(2 quarters) = 4/13 * 19/64

P(2 quarters) = 19/ (13*16) = 19/208

4 0

3 years ago

Tj worked for 5 hours and 45 minutes how should he write that on his time card

matrenka [14]

Answer:

Tj should write 5.75 hours on her time card.

Step-by-step explanation:

We have been given, Tj worked for 5 hours and 45 minutes.

We will convert 45 minutes to hours by dividing 45 by 60 as one hour has 60 minutes.

$\frac{45 minutes }{60} \times\frac{hour}{minutes}$

=0.75 hours

Hence, Tj should write 5.75 hours on her time card.

4 0

3 years ago