Please HELP ME

Simplify each polynomial Write in standard form (Hint: watch for the operations, add, sub , multiply)

(6s^4+7s^2+7)+(8s^4-11s^2+9s)

(4h^3+3h+1)-(-5h^3+6h-2)

(8z^3-3z^2-7)-(z^3-z^2+9)

5k(3-4k)

4m(2m+9m^2-6)

q(11+8q-2q^2 )

(x-2)(x+4)

(6g+7)(3g-8)

(x-1)^2

(4y+2)^2

Please help me i dont have a lot of time!

Again, we do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.

I'll break down the solution step by step for each polynomial:

1. (6s^4+7s^2+7)+(8s^4-11s^2+9s):
Combine like terms: (6s^4 + 8s^4) + (7s^2 - 11s^2) + (7 + 9s)
Simplify: 14s^4 - 4s^2 + 7 + 9s

2. (4h^3+3h+1)-(-5h^3+6h-2):
Distribute the negative sign: (4h^3 + 3h + 1) + (5h^3 - 6h + 2)
Combine like terms: 4h^3 + 5h^3 + 3h - 6h + 1 + 2
Simplify: 9h^3 - 3h + 3

3. (8z^3-3z^2-7)-(z^3-z^2+9):
Distribute the negative sign: (8z^3 - 3z^2 - 7) - z^3 + z^2 - 9
Combine like terms: 8z^3 - z^3 - 3z^2 + z^2 - 7 - 9
Simplify: 7z^3 - 2z^2 - 16

4. 5k(3-4k):
Distribute the coefficient: 5k * 3 - 5k * 4k
Simplify: 15k - 20k^2

5. 4m(2m+9m^2-6):
Distribute the coefficient: 4m * 2m + 4m * 9m^2 - 4m * 6
Simplify: 8m^2 + 36m^3 - 24m

6. q(11+8q-2q^2):
Distribute the coefficient: q * 11 + q * 8q - q * 2q^2
Simplify: 11q + 8q^2 - 2q^3

7. (x-2)(x+4):
Use the FOIL method: (x * x) + (x * 4) + (-2 * x) + (-2 * 4)
Simplify: x^2 + 4x - 2x - 8
Simplify further: x^2 + 2x - 8

8. (6g+7)(3g-8):
Use the FOIL method: (6g * 3g) + (6g * -8) + (7 * 3g) + (7 * -8)
Simplify: 18g^2 - 48g + 21g - 56
Simplify further: 18g^2 - 27g - 56

9. (x-1)^2:
Expand using the squared binomial formula: (x - 1)(x - 1)
Simplify: x^2 - x - x + 1
Simplify further: x^2 - 2x + 1

10. (4y+2)^2:
Expand using the squared binomial formula: (4y + 2)(4y + 2)
Simplify: 16y^2 + 8y + 8y + 4
Simplify further: 16y^2 + 16y + 4

I can definitely help you simplify these polynomials. Let's go through each step for each polynomial.

1. (6s^4+7s^2+7)+(8s^4-11s^2+9s):

To simplify this, we need to combine like terms. Start by combining the terms with the same exponent of s:
6s^4 + 8s^4 = 14s^4
7s^2 + (-11s^2) = -4s^2
Now, let's combine the constant terms:
7 + 9 = 16

The simplified form is: 14s^4 - 4s^2 + 16

2. (4h^3+3h+1)-(-5h^3+6h-2):

First, distribute the negative sign to each term inside the parentheses:
4h^3 + 3h + 1 + 5h^3 - 6h + 2

Now, combine like terms:
4h^3 + 5h^3 = 9h^3
3h - 6h = -3h
1 + 2 = 3

The simplified form is: 9h^3 - 3h + 3

3. (8z^3-3z^2-7)-(z^3-z^2+9):

Distribute the negative sign to each term inside the parentheses:
8z^3 - 3z^2 - 7 - z^3 + z^2 - 9

Combine like terms:
8z^3 - z^3 = 7z^3
-3z^2 + z^2 = -2z^2
-7 - 9 = -16

The simplified form is: 7z^3 - 2z^2 - 16

4. 5k(3-4k):

To simplify, we need to distribute the 5k to each term inside the parentheses:
5k * 3 - 5k * 4k

Multiply each term:
15k - 20k^2

The simplified form is: -20k^2 + 15k

5. 4m(2m+9m^2-6):

Distribute the 4m to each term inside the parentheses:
4m * 2m + 4m * 9m^2 - 4m * 6

Multiply each term:
8m^2 + 36m^3 - 24m

The simplified form is: 36m^3 + 8m^2 - 24m

6. q(11 + 8q - 2q^2):

Distribute the q to each term inside the parentheses:
q * 11 + q * 8q - q * 2q^2

Multiply each term:
11q + 8q^2 - 2q^3

The simplified form is: -2q^3 + 8q^2 + 11q

7. (x-2)(x+4):

Use the FOIL method to multiply:
(x * x) + (x * 4) + (-2 * x) + (-2 * 4)

Multiply each term:
x^2 + 4x - 2x - 8

Combine like terms:
x^2 + 2x - 8

The simplified form is: x^2 + 2x - 8

8. (6g + 7)(3g - 8):

Use the FOIL method to multiply:
(6g * 3g) + (6g * -8) + (7 * 3g) + (7 * -8)

Multiply each term:
18g^2 - 48g + 21g - 56

Combine like terms:
18g^2 - 27g - 56

The simplified form is: 18g^2 - 27g - 56

9. (x-1)^2:

To simplify this, we can use the perfect square formula, which is (a - b)^2 = a^2 - 2ab + b^2.
In this case, a = x and b = 1:
(x - 1)^2 = x^2 - 2(x)(1) + 1^2
Simplifying further:
x^2 - 2x + 1

The simplified form is: x^2 - 2x + 1

10. (4y+2)^2:

Using the same perfect square formula, a = 4y and b = 2:
(4y + 2)^2 = (4y)^2 - 2(4y)(2) + 2^2
Expanding further:
16y^2 - 16y + 4

The simplified form is: 16y^2 - 16y + 4

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