Question

Приведите многочлен к стандартному виду:1) 5а - 3ab - 4a2) 3a^2 b + b^4 - 4ba^23) 7(a + b^2) - (a + b^2)4) a^2 b^3 - (2ab)^2 + 3a^2 b^25) 3(a - 2) + 3b + 6 помогите пожалуйста срочно нужно умоляю!

Answer 1

1)а-3аб=а(1-3б)
2)б^4-ba^2=b(b^3-a^2)
3)7a+7b^2-a+b^2=6a+8b^2=2(3a+4b^2)
4)a^2b^3-4a^2b^2+3a^2b^2=a^2b^3-a^2b^2=a^2b^2(b-1)
5)3a-6+3b+6=3a+3b=3(a+b)

Answer 2

Polynomial Standard Form

To convert the given polynomials to standard form, we need to simplify and rearrange the terms. Let's go through each polynomial one by one:

1) 5a - 3ab - 4a^2

To put this polynomial in standard form, we arrange the terms in descending order of their exponents:

-4a^2 - 3ab + 5a

2) 3a^2 + b + b^4 - 4ba^2

Again, we rearrange the terms in descending order of their exponents:

b^4 - 4ba^2 + 3a^2 + b

3) 7(a + b^2) - (a + b^2)

Here, we can simplify the expression by combining like terms:

6(a + b^2)

4) a^2 + b^3 - (2ab)^2 + 3a^2 + b^2

Let's simplify and rearrange the terms:

4a^2 + b^3 + b^2 - 4a^2 + 3a^2

Simplifying further:

3a^2 + b^3 + b^2

5) 3(a - 2) + 3b + 6

Simplifying the expression:

3a - 6 + 3b + 6

Combining like terms:

3a + 3b

So, the polynomials in standard form are:

1) -4a^2 - 3ab + 5a 2) b^4 - 4ba^2 + 3a^2 + b 3) 6(a + b^2) 4) 3a^2 + b^3 + b^2 5) 3a + 3b

I hope this helps! Let me know if you have any further questions.