Expand and simplify (x+3)(x-3)(3x+2)

1 answer:

4 0

In order to expand this expression, we need to first multiply 2 of the terms and then use the solution to multiply the last term. In this case,

We will first multiply (x+3)(x-3),

x^2-3x+3x-9, we can simplify this to x^2-9

Now we multiply (x^2-9) and (3x+2)

3x^3+2x^2-27x-18

This cannot be simplified any further so your final answer is

3x^3+2x^2-27x-18

#SPJ1

8 0

1 year ago

Alex has $25 in his savings account. He needs $150 to buy a new bicycle. He plans to deposit $12.50 per week into the account un

Mice21 [21]

Answer:

150-25=125 (what he needs left)

125/12.50= 10

So it'll take him 10 weeks to finally reach that amount.

Step-by-step explanation:

4 0

3 years ago

What is the sum of the first 1,000 consecutive odd numbers?

Leokris [45]

That is an arithmetic sequence of the form:

a(n)=2n-1

Now the sum of an arithmetic sequence is just the average of the first and last terms times the number of terms...

We know the first term is 1, let's find the last term...

a(1000)=2(1000)-1=1999

So the sum of that sequence is:

1000(1999+1)/2

1,000,000

4 0

3 years ago

A square piece of paper 10 cm on a side is rolled to form the lateral surface area of a cylinder and then a top and bottom are a

Anika [276]

Answer:

The surface = pi*10cm2

Step-by-step explanation:

The area of any rectangle is Base * Height,

We know that the square originally has 10cm High, when is rolled to form a cylinder, it's new shape has a bottom side that is equals to a circle.

The length of a circle is 2*pi*Radio= pi*Diameter.

Since the square has the same length in each side, we know that pi*Diameter= 10cm*pi

The surface (area) of the cylinder is= Base * Height= 10cm*10cm*pi

6 0

3 years ago