answer.
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
Maslowich
2 years ago
9

3 Explain how the distributive property helps us multiply the following polynomials and why and how the final products differ: ●

(a + b)^2, ●(a – b)^2, and ●(a - b)(a + b).
Mathematics
1 answer:
Pavel [41]2 years ago
4 0
<span>●(a + b)^2 = (a +b) (a +b)

(a + b) (a + b) = a*a + a*b + b*a+ b*b = a^2 + 2ab + b^2

●(a – b)^2 (a - b) (a -b)

(a - b) (a -b) = a*a + -ab - ba + b*b = a^2 - 2ab + b^2

●(a - b)(a + b). =

= (a - b) (a + b) = a*a + ab - ba - b*b = a^2 - b^2
</span>
You might be interested in
The oblique rectangular prism below has a length of 6 cm, a width of 8 cm, and a height of 7 cm.What is the area of the base of
Rudiy27

Answer:

Area of the base of the prism = 48cm²

Step-by-step explanation:

A rectangular prism has a rectangular base

Area of a rectangular base, A = length x width

A = 6cm x 8cm = 48cm²

5 0
2 years ago
Read 2 more answers
Barbara is tiling her craft room floor with square tiles. She wants 6/10 of squares tiles to be red. If she uses 18 red tiles, h
Sveta_85 [38]

Answer:

6 and 18 are common because 6x3=18. Remember the rule to multiply all numbers by 3. So multiply 10 by 3 and you will get 30. The total number of square tiles needed is 30 tiles. If you are putting it into a ratio it would be 18:30.

5 0
2 years ago
A sociologist recorded the estimated life expectancies of women born in Center City. Use the data from women born in 1970 and 20
ANEK [815]
Y = 0.213x – 352.0 <span> represents this linear model shown in the data table.
Plug in the values of x into the equation for a double check.
Let's try 1980.

</span><span>y = 0.213(1980) – 352.0
</span>y = 69.74
which is closest to the 70.1 whereas other options do not satisfy the condition. 
6 0
2 years ago
Read 2 more answers
destiny sells pencil cases for $5 each and mechanical pencils for $2 each at the school supply store. she sells p pencil cases a
Andrew [12]

Answer:

Step-by-step explanation:

5p + 2(p + 4) .......because pencil cases (p) sell for 5 bucks a piece....and mechanical pencils (p + 4), sell for 2 bucks a piece. She is basically selling 4 more mechanical pencils then she is pencil cases.

8 0
2 years ago
Find dy/dx implicitly and find the largest interval of the form −a &lt; y &lt; a or 0 &lt; y &lt; a such that y is a differentia
mylen [45]

Answer:

dy/dx = -1/√(1 - x²)

For 0 < y < π

Step-by-step explanation:

Given the function cos y = x

-siny dy = dx

-siny dy/dx = 1

dy/dx = -1/siny (equation 1)

But cos²y + sin²y = 1

=> sin²y = 1 - cos²y

=> siny = √(1 - cos²y) (equation 2)

Again, we know that

cosy = x

=> cos²y = x² (equation 3)

Using (equation 3) in (equation 2), we have

siny = √(1 - x²) (equation 4)

Finally, using (equation 4) in (equation 1), we have

dy/dx = -1/√(1 - x²)

The largest interval is when

√(1 - x²) = 0

=> 1 - x² = 0

=> x² = 1

=> x = ±1

So, the interval is

-1 < x < 1

arccos(1) < y < arxcos(-1)

= 0 < y < π

6 0
2 years ago
Other questions:
  • What is the 185th digit in the following pattern 12345678910111213141516...?
    15·1 answer
  • Which value of x would make FG II BC?<br><br> 1<br> 3<br> 6<br> 9
    14·2 answers
  • An internet service provider is implementing a new program based on the number of connected devices in each household. Currently
    8·2 answers
  • Playing tennis burns energy at a rate of about 25 kJ/min. Cycling burns energy at about 35kJ/min. Hans exercised by playing tenn
    5·1 answer
  • Kevin opened a savings account with Texas National Bank. His account has an APR of 1.95% compounded quarterly. If Kevin opens hi
    15·1 answer
  • The ratio of bananas to melons is 30:1 . if there are 300 bananas. how<br> many melons are there?
    14·2 answers
  • If e = 9 cm and f = 40 cm, what is the length of g?
    13·1 answer
  • On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negat
    15·2 answers
  • Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20. W
    11·3 answers
  • A restaurant owner was experimenting with the taste of her homestyle lemon drink. She started with 60 litres of water. She remov
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!