How does differential gene expression control organismal development?

Solved

Show answers

Ответ:

plumagirl

22.05.2021

Biology

The correct option is option D. (x-6y).(x-4y)

Step-by-step explanation:

We have the following expression :

$x^{2}-10xy+24y^{2}$

We need to find an equivalent factored form of this expression.

Let's suppose that we have the following equality :

A=(B).(C)

We can state that the expression ''A'' is the result of the product between the expression ''B'' and the expression ''C''.

In this case, the expressions ''B'' and ''C'' are called the factors.

If we make the following divisions we will obtain that :

$\frac{A}{B}=C$

$\frac{A}{C}=B$

In order to solve this exercise, we can take each option and make the product to see If we obtain the original expression $x^{2}-10xy+24y^{2}$

For A. (x+6y).(x+4y) ⇒

$(x+6y).(x+4y)=x^{2}+4xy+6xy+24y^{2}=x^{2}+10xy+24y^{2}$

We did not obtain the original expression. Therefore, the option A. is wrong.

For B. (x-2y).(x+12y) ⇒

$(x-2y).(x+12y)=x^{2}+12xy-2xy-24y^{2}=x^{2}+10xy-24y^{2}$

We did not obtain the original expression. Therefore, the option B. is wrong.

For C. (x+2y).(x-12y) ⇒

$(x+2y).(x-12y)=x^{2}-12xy+2xy-24y^{2}=x^{2}-10xy-24y^{2}$

We did not obtain the original expression. Therefore, the option C. is wrong.

Finally, for D. (x-6y).(x-4y) ⇒

$(x-6y).(x-4y)=x^{2}-4xy-6xy+24y^{2}=x^{2}-10xy+24y^{2}$

We obtain that D. is an equivalent factored form of $x^{2}-10xy+24y^{2}$

D. is the correct option.

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Biology

Ask an AI advisor a question

I want advice