Hello, I am currently working on mulitply and divide of polynomials,and I have n

Question

Hello, I am currently working on mulitply and divide of polynomials,and I have no clue where to even start. I was hoping someone couldshow me how they would do the following problems in detail so Ihope I only have to ask once. I currently attend South Universityonline so these questions are not out of the text book. Thank youin advance for any help I may or can get. (2x-7)^2 (2x+3y)(2x-3y) (32y^4-12y^2-36y)/(4y) Hello, I am currently working on mulitply and divide of polynomials,and I have no clue where to even start. I was hoping someone couldshow me how they would do the following problems in detail so Ihope I only have to ask once. I currently attend South Universityonline so these questions are not out of the text book. Thank youin advance for any help I may or can get. (2x-7)^2 (2x+3y)(2x-3y) (32y^4-12y^2-36y)/(4y)

Explanation / Answer

Use the FOIL method:
(2x-7)^2 = (2x-7)(2x-7) = 2x * 2x + (2x)*(-7) +(-7)*(2x) + (-7)(-7) = 4x^2 - 14x + 49
(2x+3y)(2x-3y) = 4x^2 - 0 -9y^2
(32y^4-12y^2-36y)/(4y) -->factor out 4y from numerator to get 4y(8y^3 - 3y - 9)/4y = 8y^3 -3y - 9

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