chenellelewis6
Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

factorize 2mh-2nh-3mk+3nk ​

Sagot :

clarch19

Answer:

(2h-3k)(m-n)

Step-by-step explanation:

factor by grouping, you can group the first two terms and the last two terms:

2h(m-n) + (-3k)(m-n)

there will be one factor in common, use that factor in combination with the factors that are not duplicated:

(2h-3k)(m-n)

bowmaian000

Answer:

[tex](2h-3k)(m-n)[/tex]

Step-by-step explanation:

So we start with:

[tex]2mh-2nh-3mk+3nk[/tex]

To make this look more managable, lets seperate this into two binomials. Lets start with:

[tex]2mh-2nh[/tex]

So how can we factor this? Lets look at what both the values have in common.

We immediatly see that they both have a coefficent of 2.

They also both have a h.

This means we can factor out a 2h from both and get:

[tex]2h(m-n)[/tex]

Now lets move onto the other binomial we had:

[tex]-3mk+3nk[/tex]

Again, we can immediatly see that both values in this binomial have a 3.

Be careful however, make sure to factor out a -3, not a 3.

Another thing the two values have in common is a k.

This means we can factor out -3k to get:
[tex]-3k(m-n)[/tex]

Now lets reintroduce our first factored binomial back into this equation:

[tex]2h(m-n)-3k(m-n)[/tex]

Notice that both factored binomials have (m-n)

Because of this we can neaten up our equation into:

[tex](2h-3k)(m-n)[/tex]

How does this work?

Recall that the -3k will distrubute, or in otherwords multiply the (m-n) as [tex]3k(m-n)[/tex]. It works the same way in this form as well, since when you use foil, you multiply 2h by both m and -n, and -3k by m and -n.

And we see, if we multiply the binomials out again, we get:

[tex](2h-3k)(m-n) = 2mh-2nh-3mk+3nk[/tex]

So our answer is:

[tex](2h-3k)(m-n)[/tex]

Hope this helps! :3

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.