Answer:
3k^3 + k^2 - 4k
Step-by-step explanation:
k * 3k^2 = 3k^3
k * k = k^2
k * -4 = -4k
3k^3 + k^2 - 4k
Hello.
Let's solve the absolute value inequality.
In order to do that, let's imagine that |3x-4| is positive.
Since the absolute value of |3x-4| is 3x-4, we write 3x-4 and solve:
Now, move -4 to the right, using the opposite operation:
Add:
Divide both sides by 3:
However, this is only 1 solution.
Let's imagine that |3x-4| is a negative number.
So, the inequality looks like so:
Move 4 to the right:
Divide both sides by -3:
Therefore, the solutions are
Note:
If we divide both sides of an inequality by a negative number, we flip the inequality sign.
I hope this helps you.
Have a nice day.
Answer:
Step-by-step explanation:
Factor
Answer:
Step-by-step explanation:
Required
Match each expression to their simplified form
1.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Split the fraction in the bracket
Simplify the fraction by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
2.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Further simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
3.
Simplify the numerator as thus:
Simplify the denominator as thus:
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence,
4.
Simplify the expression in bracket by using the following law of indices;
The expression becomes
Hence