SOLUTION: Please check my work: 1. Essay: Show all work. Find the following product: (y - 7)^2 =(y * y) + (-7 * -7) = y^2 + 49 2. Short Answer. Find the following product: (y^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please check my work: 1. Essay: Show all work. Find the following product: (y - 7)^2 =(y * y) + (-7 * -7) = y^2 + 49 2. Short Answer. Find the following product: (y^2      Log On


   

Question 598691: Please check my work:
1. Essay: Show all work. Find the following product: (y - 7)^2
=(y * y) + (-7 * -7)
= y^2 + 49
2. Short Answer. Find the following product: (y^2 - 7y + 4)(4 + 1)
y^3 - 6
3. Short Answer. Find the following quotient:
x^2 - 16
________
x + 4
x-4

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
#1. (y - 7)^2
.
%28y-7%29%5E2=%28y-7%29%2A%28y-7%29
.
Distribute each term in the first binomial over the terms in the second binomial. You will end up with a 2nd degree polynomial with four terms.
.
%28y-7%29%5E2=%28y%29%28y%29%2B%28y%29%28-7%29%2B%28-7%29%28y%29%2B%28-7%29%28-7%29
.
Combine the two (-7y) terms.
.
%28y-7%29%5E2=y%5E2-7y-7y%2B49
%28y-7%29%5E2=y%5E2-14y%2B49
.
.
#2. (y^2 - 7y + 4)(4 + 1)
.
Did you really mean (4+1) in the second term? That would simplify to 5? have
.
%28y%5E2+-+7y+%2B+4%29%284+%2B+1%29
.
Simplify.
%28y%5E2+-+7y+%2B+4%29%285%29
.
Distribute the 5 over every term in the first polynomial. (We're going to the left this time because there is only one term to distribute.
.
5y%5E2+-+35y+%2B+20
.
.
#3. Correct
.
I hope this helps. Feel free to email via gmail if you have questions about my solutions. If #2 is a typo, email me or re-post for all tutors.
.
Ms.Figgy
math.in.the.vortex@gmail.com