Question

Doing an Algebra assignment that is due today, I have multiple problems I need help with, I'm posting 5 questions at a time since I can't post them all.

Answer 1

1) 8x^2-10x-7

2) 30
`x^(9\\)`- 60
`x^(5)`

3) -10y^6 - 45y^5 + 25y^4

4) 30x^9 - 60x^5

5) 30x^9 - 60x^5

Explanation:

1) (2x+1)(4x-7), we will multiply each term from the first parenthesis against every term in the second.

2x*4x = 8
`x^(2)`, 2x*-7 = -14x

1(4x-7) = 4x-7.

8x^2-14x+4x-7 = 8x^2-10x-7

2) 10
`x^(5)`(3x^4-6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30
`x^(9\\)`-60
`x^(5)`

3) -5y^4(2y^2+9y-5)

-5y^4(2y^2) = -10y^6

-5y^4(9y) = -45y^5

-5y^4(-5) = 25y^4

-10y^6 - 45y^5 + 25y^4

4) 10x^5(3x^4 - 6)

10x^5(3x^4) = 30x^9

10x^5(-6) = -60x^5

30x^9 - 60x^5

5) (3y - 5z)(8y - 3z) =

3y*8y = 24y^2

3y*(-3z) = -9yz

-5z(8y) = -40yz

-5z(-3z) = 15z^2

24y^2 + 15z^2 - 49yz