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2 years ago

How to add and subtract polynomials in standard form

Mathematics

1 answer:

MAXImum [283]2 years ago

4 0

To add polynomials, simply add any like terms together ... so what is a like term?

Like Terms are terms whose variables (and their exponents such as the 2 in x2) are the same.

In other words, terms that are "like" each other.

To subtract Polynomials, first reverse the sign of each term we are subtracting (in other words turn "+" into "-", and "-" into "+"), then add as usual.

Hope this helped you! (:

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Simplify this equation Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

Hence the required answer is (-1) .

4 0

2 years ago

What two numbers are added together and equal -8.

Anastasy [175]

Answer: You might need to be more descriptive, there's a lot of numbers that could be added together to equal -8.

-4 + -4 = -8.

-6 + -2 = -8.

etc.

4 0

2 years ago

Read 2 more answers

What are the coordinates of the vertex of the table? Is it a minimum or a maximum?

WITCHER [35]

I think the answer is maximum

5 0

2 years ago

I honestly just don't get this question. I'll give 30 points!!!

Svetllana [295]

I wish I could help but but I can't I'm dumb as a box of rocks

7 0

2 years ago

Read 2 more answers

Evaluate. Please help me!!!

Mademuasel [1]

Answer:

670

Step-by-step explanation:

(3*1+2)+(3*2+2)+........(3*20+2)=670

5 0

2 years ago