MATH SOLVE

2 months ago

Q:
# can someone help me out?Factor 2x2b2 + 5xb2 + 2b2. Show your work.

Accepted Solution

A:

Answer:

b²(2x+1)(x+2)

Explanation:

The given equation is:

2b²x² + 5xb² + 2b²

We can start by taking b² as a common factor, this will give us:

b² (2x² + 5x + 2)

Now, we have a trinomial quadratic equation that we need to factorize.

The general form of the quadratic equation is:

ax² + bx + c

The one we have is:

2x² + 5x + 2

By comparison:

a = 2

b = 5

c = 2

To get the factors, we will need to use the quadratic equation attached in the images.

By substitution, we would find that:

either x = -1/2.......> This means that the factor is (2x+1)

or x = -2........> This means that the factor is (x+2)

Now, back to our expression, we will replace the quadratic trinomial with its factored form to get the simplified expression:

b²(2x+1)(x+2)

Hope this helps :)

b²(2x+1)(x+2)

Explanation:

The given equation is:

2b²x² + 5xb² + 2b²

We can start by taking b² as a common factor, this will give us:

b² (2x² + 5x + 2)

Now, we have a trinomial quadratic equation that we need to factorize.

The general form of the quadratic equation is:

ax² + bx + c

The one we have is:

2x² + 5x + 2

By comparison:

a = 2

b = 5

c = 2

To get the factors, we will need to use the quadratic equation attached in the images.

By substitution, we would find that:

either x = -1/2.......> This means that the factor is (2x+1)

or x = -2........> This means that the factor is (x+2)

Now, back to our expression, we will replace the quadratic trinomial with its factored form to get the simplified expression:

b²(2x+1)(x+2)

Hope this helps :)