Factor out a (2x) from the denominator, which cancels with (2x) from the numerator. Then factor the numerator, which becomes (x + 1)(x + 1), of which one of them cancels and you're left with (x + 1).

To simplify this expression, you must combine like terms. You should first use the distributive property and multiply -4 by x² and -4 by 3.

x³ - 4x² -12 + 15

You can then add -12 and 15, which equals 3.

You now have x³ - 4x² + 3 and are finished. Just a reminder that x³ and 4x² are not like terms as the x’s have different exponents.

Begin by distributing each part:

2x(x² + 4ax – 3a²) = 2x * x² + 2x * 4ax – 2x * 3a² = 2x³ + 8ax² – 6a²x

The second:

–4a²(4x + 3a) = –16a²x – 12a³

Now, combine these:

2x³ + 8ax² – 6a²x – 16a²x – 12a³

The only common terms are those with a²x; therefore, this reduces to

2x³ + 8ax² – 22a²x – 12a³

This is the same as the given answer:

–12a³ – 22a²x + 8ax² + 2x³

5x – (6x – 2x) = 5x – (4x) = x

(x – 1)(x + 2) - x² + 2 = x² + x – 2 – x² + 2 = x

x(4x)/(4x) = x

(3 – 3)x = 0x = 0

In order to simplify this expression, distribute and multiply the outer term with the two inner terms.

When the same bases are multiplied, their exponents can be added.  Similarly, when the bases are divided, their exponents can be subtracted.  Apply this rule for the given problem.

To simplify this expression, reduce the term inside the parenthesis. 

Rewrite the negative exponent as a fraction.

To simplify this expression, combine like terms.  In this expression,  and are like terms. They are like terms because each term consists of a single variable,, and a numeric coefficient. Add the coefficients of these terms. Addition is the operation that you would use denoted by a plus sign next to the x.

 and  are also like terms. They are like terms because each term consists of a single variable, , and a numeric coefficient.  These two like terms are separated by a subtraction sign, therefore subtraction is the operation you would use

Therefore, the correct answer is

To simplify this expression, combine like terms.  In this expression,  and  are like terms. They are like terms because each term consists of a , and a numeric coefficient. Add the coefficients of these terms. Addition is the operation that you would use denoted by a plus sign.

 and  are also like terms. They are like terms because each term consists of  and a numeric coefficient.  These two like terms are separated by a addition sign, therefore addition is the operation you would use.

Therefore, the correct answer is

Combine all the like terms.

The  terms can be combined together, which gives you .

When you combine the  terms together, you get .

There is only one  term so it doesn't get combined with anything. Put them all together and you get 

.