Drag each tile to the correct box. Not all tiles will be used. Consider the expression below. Place the steps required to determine the sum of the two expressions in the correct order.

Step-by-step explanation:

The given expression is

First, we need to factor each part of the expression

Remember that quadractic expression are factored in two binomial factors. The first quadratic expression factors are about two numbers which product is 6 and which difference is one. The second quadratic expression is about two numbers which product is 12 and which difference is 1.

Now, we simplify equal expression at each fraction.

Then, we use the least common factor about the denominators to sum those fractions. In this case, the least common factor is , because those are the factors present in the denominators.

Now, we divide each fraction by the least common factor, and then multiply the numeratos by its result.

Finally, we multiply all products and sum like terms.

Therefore, the sum of the initial expression is equal to

3(x+2)/(x+2)(x-3) + 2x/(x-3)(x+4)

↓

3/(x-3) + 2x/(x-3)(x+4)

↓

3(x+4)/(x-3)(x+4) + 2x/(x-3)(x+4)

↓

(3x+12)+2x/(x-3)(x+4)

↓

5x+12/(x-3)(x+4)

(Apologies! I got it incorrect the first time in the image below, but I edited it-so, now it's correct)

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~