Question

help please Steps to Completing This Discussion Based Assessment: Complete ONE problem from each of the 6 parts on the assignment attached below. You need to show work for each of the 6 problems you choose to do.

Answer 1

Answer:

Part A number 2 (see work below)

*please give me brainliest lol*

Step-by-step explanation:

(8r^3 + 2r^2 + 1) - (7 - 7r^3 + 3r^2)

after factoring out the negative, you'll have:

8r^3 + 2r^2 + 1    -7 + 7r^3 - 3r^2

now we combine like terms, and your answer is:

15r^3 - r^2 - 6

hope this helps!

Answer 2

Answer:

See solution( s ) below

Step-by-step explanation:

1.

$( 2r + 4r^2 - 4r^3 ) - ( 5r^2 - 7r + 3r^3 ) ,\\2r+4r^2-4r^3-\left(5r^2-7r+3r^3\right),\\2r+4r^2-4r^3-5r^2+7r-3r^3,\\\\Simplified, -7r^3-r^2+9r$

To solve this problem, I distributed the negative to the values in ( ), and grouped like elements!

2.

$( 8x + 8 )( 8v^2 + 4x - 8 ),\\8x\cdot \:8v^2+8x\cdot \:4x+8x\left(-8\right)+8\cdot \:8v^2+8\cdot \:4x+8\left(-8\right),\\\\Simplified, 32x^2+64v^2x-32x+64v^2-64$

Expanding the values in ( ), I combined like terms once more, and simplified the expression!

3.

$54b^7+81b^6 + 72b^4,\\Greatest Common Factor = 9b^4\\Factored, 9b^4\left(6b^3+9b^2+8\right)$

4.

$16p^3 +12p^2 + 12p + 9,\\\left(16p^3+12p^2\right)+\left(12p+9\right),\\3\left(4p+3\right)+4p^2\left(4p+3\right),\\\\Factored, \left(4p+3\right)\left(4p^2+3\right)$

5.

$x^2 + 8x - 20,\\( x^2 - 2x ) + ( 10x - 20 ),\\x * ( x - 2 ) + 10 * ( x - 2 ),\\\\Factored, ( x - 2 )( x + 10 )$

6.

$2\sqrt{ 45 } - \sqrt{ 20 }\\6\sqrt{ 5 } - 2\sqrt{ 5 },\\\\Solution, 4\sqrt{ 5 }$