What is 3(4u-2)-2(u+2) ?

Mathematics

2 answers:

Over [174]3 years ago

6 0

Assuming you want to simplify this expression, you would make use of the distributive property.

... = 3(4u) +3(-2) -2(u) -2(2)

... = 12u -6 -2u -4

... = u(12 -2) +(-6-4)

... = 10u -10

faust18 [17]3 years ago

4 0

You first use distributive property to solve which is 12u-6-2u-4 then combine like terms which is 10u-10 which is your answer.

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4 years ago

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PLEASE HELP ASAP!!! Thank you!

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3 years ago

Can someone help me out?<br> Factor 2x2b2 + 5xb2 + 2b2. Show your work.

Vsevolod [243]

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 :)