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
Fantom [35]
3 years ago
5

The product of the sum of a and b and their difference.

Mathematics
1 answer:
Alchen [17]3 years ago
7 0

Step-by-step explanation:

The product of the sum of a and b and their difference:

(a + b)(a - b) = a² - b²

Proof:

L = (a + b)(a - b)     <em>use FOIL</em>

L = (a)(a) + (a)(-b) + (b)(a) + (b)(-b)

L = a² - ab + ab - b²         <em>combine like terms</em>

L = a² - b² + (-ab + ab)

L = a² - b²

R = a² - b²

L = R

You might be interested in
Friends?<br>.............................
Vlad [161]
Ok sure—————-_______—-____
7 0
3 years ago
Evaluate the expression when g=3 and h= 39.<br> h-69<br> L<br> B.<br> X6<br> ?
lawyer [7]
Answer:
39-18 is 21.
Explanation:
3 0
3 years ago
(4). Simplifying polynomials, help pls:) brainliest involved
Roman55 [17]

Answer:

Explanation:

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.

First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.

Let's identify some like terms below.

f(x)=−4x+3x2−7+9x−12x2−5x4

Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:

f(x)=5x+3x2−7−12x2−5x4

Let's do the same thing with the x-squared terms:

f(x)=5x+3x2−7−12x2−5x4

f(x)=5x−9x2−7−5x4

Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:

f(x)=−5x4−9x2+5x−7

Step-by-step explanation:

5 0
3 years ago
The LM = 3x - 2, LN = 2x + 1, and MN = 5x - 2.
USPshnik [31]
The answer would come out to be 26
6 0
3 years ago
F(x) = 3x + 9, g(x) = 5x2 Find (f + g)(x).
Karo-lina-s [1.5K]
F(x) = 3x + 9
g(x) = 5x²

(f + g)(x) = (3x + 9) + 5x²
(f + g)(x) = 3x + 9 + 5x²
(f + g)(x) = 5x² + 3x + 9
4 0
3 years ago
Read 2 more answers
Other questions:
  • If m∠5 =53° and m∠7 =125° , find the measures of each numbered angle.Then explain how u found each angle,citing definitions and
    5·1 answer
  • at right is graph of this situation predict how the line would change to present the average cost of gas in dicember of 2005 whe
    14·1 answer
  • Charmaine's penny bank is 2/3 full. After she removes 160 pennies, it is 4/9 full. How many pennies can Charmaine's bank hold?
    11·2 answers
  • What number is .4 percent of 82.1
    13·2 answers
  • What is the steps to this problem<br> 5X-X=28
    11·2 answers
  • Help help help AAAAAAA math is hard
    10·2 answers
  • Please help<br><br> find the value of x in the given ratio.<br><br> 2/3=x/15
    12·1 answer
  • Solve f(x)= (x - 1(- 5)?
    12·1 answer
  • loly beought a bag of hummy bears and ate one third of them the next say she ate 16 more hummy bears if she ate a total of 37 gu
    11·1 answer
  • $6500 were divided equally among a certain number of persons. Had there been 15 more persons, each would got $30 less. Find the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!