From the sum of 3a^2-ab-2b^2 and 2a^2+5ab-3b^2 subtract a^2-3ab-4b^2

Mathematics

2 answers:

melamori03 [73]2 years ago

4 0

Answer:

4a^2 + ab - 9b^2

Step-by-step explanation:

First, perform the indicated addition:

3a^2-ab-2b^2

2a^2+5ab-3b^2

------------------------

5a^2 + 4ab - 5b^2

From this sum we subtract a^2 - 3ab - 4b^2:

5a^2 + 4ab - 5b^2

-(a^2 - 3ab - 4b^2

------------------------------

4a^2 + ab - 9b^2

Luden [163]2 years ago

3 0

4a^2+7ab-b^2

Step-by-step explanation:

Add the first two equations together:

3a^2-ab-2b^2

+ 2a^2+5ab-3b^2

---------------------------

5a^2+4ab-5b^2

Subtract that answer from the remaining trinomial:

5a^2+4ab-5b^2

- a^2-3ab-4b^2

--------------------------

4a^2+7ab-b^2

You might be interested in

The set of numbers in the form startfraction a over b endfraction a b, where a and b are integers and bnot equals≠0, is called

krek1111 [17]

Rational Number are set of numbers that can be written as a/b where a and b are integers, but b is not equal to 0; an integer or a fraction; for example: 6 can be expressed as 6/1 and 0.5 can be expressed as 1/2.

7 0

3 years ago

Read 2 more answers

(255)/(6)*(672)/(9)+(37)/(9) <br> How do you work this out step by step??

koban [17]

Step 1. Type it into a Google search box or calculator. (You need to use a calculator anyway.) The result is 3177 4/9.

If you're doing this according to the Order of Operations, you do the multiplication and division left to right. This means the first calculation you do is
255/6 = 42.5
Next, you multiply by 672
42.5*672 = 28560
Then divide by 9
28560/9 = 3173 3/9

You continue by doing the division
37/9 = 4 1/9

And finish by adding the two results
3173 3/9 + 4 1/9 = 3174 4/9

_____
If you're doing this by hand, you can recognize the first term as the product of two fractions, so is the product of numerators divided by the product of denominators.
(255*672)/(6*9)
Using your knowledge of divisibility rules, you can do the division 672/6 to simplify this to
(255*112)/9
Now, the first term and the second term have the same denominator, so you can add the numerators before you do the division.
(255*112 + 37)/9 = (28560 + 37)/9 = 28597/9
You end up having to do only two simple divisions, rather than 3 of them.
28597/9 = 3177 4/9