Hello,
1)
3x²y²-2xy²-8y²=y²(3x²-2x-8)
=y²(3x²-6x+4x-8)
=y²(3x(x-2)+4(x-2))
=y²(x-2)(3x+4)
2)
x²-36=x²-6²=(x+6)(x-6)
Answer:
N = 6 - 2
Step-by-step explanation:
Take each part of the word expression and translate it:
"N" => N ("N" is a variable that represents a number you don't know)
"is the same as" => = ("the same" means equals)
"6 reduced by 2" => 6 - 2 ("reduced" means use subtraction "-")
Put the sentence back together in the same order.
N = 6 - 2
If you wanted to find "N", you can simplify by doing 6 - 2.
N = 4
Answer:
1. < 3
2. < 8
3. < 5
4. < 4
5. < 6
6. < 7
7. < 2
8. < 1
9. < 8
< = Angle
<h2>
Hello!</h2>
The answer is: 
<h2>Why?</h2>
Since we have mixed numbers, first we need to make it fractions, then we can add/subtract the resultant fractions.
Sum of fractions is not linear, to add/subtract actions we must follow the next steps:
- Multiply each fraction denominator by each other, it will be the new fraction denominator.
- Multiply first fraction numerator by the second fraction denominator.
- Multiply first fraction denominator by the second fraction numerator.
- Add/subtract each result from step 2 and 3 to get the new fraction numerator.
- Simplify the results.
Therefore,
Now, we have all mixed numbers changed to fractions. Then, we need to add the fractions:
Have a nice day!
Answer:
( f h ) (x) = 6 x² - 1
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given<em> f(x) = 3 x - 4</em>
g (x) = −x²+2 x−5
<em> h (x) = 2 x² + 1</em>
j (x) = 6 x + 2 - 8 x
K (x) = 3 x² - x + 7
<u><em>Step(ii)</em></u>:-
<em>( f h ) (x) = f ( h (x)) = f ( 2 x² + 1 )</em>
= 3 (2 x² + 1 ) - 4
= 3 ((2 x² ) + 3 - 4
= <em>6 x² - 1</em>
<u><em> Final answer:</em></u>-
∴ <em> ( f h ) (x) = 6 x² - 1</em>
