SOLUTION: Add: x³y² + 2x²y³ + 3xy – 4) + (x² y ³– 7x³ ²y + 2xy +1) Multiply: (x² + 2y² -xy)(x² + 7xy + y²)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Add: x³y² + 2x²y³ + 3xy – 4) + (x² y ³– 7x³ ²y + 2xy +1) Multiply: (x² + 2y² -xy)(x² + 7xy + y²)       Log On


   

Question 180778: Add:
x³y² + 2x²y³ + 3xy – 4) + (x² y ³– 7x³ ²y + 2xy +1)
Multiply:
(x² + 2y² -xy)(x² + 7xy + y²)
Answer by EMStelley(208) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3y%5E2%2B2x%5E2y%5E3%2B3xy-4%2Bx%5E2y%5E3-7x%5E3y%5E2%2B2xy%2B1
In order to add, we just find like terms. So, for example, x%5E3y%5E2 and -7x%5E3y%5E2 are alike because the x's are cubed and the y's are both squared. So, we get that


%28x%5E2%2B2y%5E2-xy%29%28x%5E2%2B7xy%2By%5E2%29
To multiply, we need to distribute each term of the first trinomial through to each term of the second trinomial. So,

x%5E4%2B7x%5E3y%2Bx%5E2y%5E2%2B2x%5E2y%5E2%2B14xy%5E3%2B2y%5E4-x%5E3y-7x%5E2y%5E2-xy%5E3
x%5E4%2B6x%5E3y-4x%5E2y%5E2%2B13xy%5E3%2B2y%5E4