Multiply and Simplify completely: $$ (-x y-2)(-x y+10)= $$ Enter your answer Submit answer $$ \quad $$ Attempts: $$ 0 / 5 $$

Question

UpStudy AI · Accepted Answer

1. Write down the expression:
   
   $$
   (-xy - 2)(-xy + 10)
   $$

2. Apply the FOIL method (First, Outer, Inner, Last):
   
   - **First:** Multiply the first terms:
     
     $$
     (-xy)(-xy) = x^2y^2
     $$
   
   - **Outer:** Multiply the outer terms:
     
     $$
     (-xy)(10) = -10xy
     $$
   
   - **Inner:** Multiply the inner terms:
     
     $$
     (-2)(-xy) = 2xy
     $$
   
   - **Last:** Multiply the last terms:
     
     $$
     (-2)(10) = -20
     $$

3. Combine all the products:

$$
   x^2y^2 - 10xy + 2xy - 20
   $$

4. Combine like terms (the terms in $$ xy $$):

$$
   x^2y^2 - 8xy - 20
   $$

5. Final simplified expression:

$$
   x^2y^2 - 8xy - 20
   $$
$$ x^2y^2 - 8xy - 20 $$

Multiply and Simplify completely: \( (-x y-2)(-x y+10)= \) Enter your answer Submit answer \( \quad \) Attempts: \( 0 / 5 \)

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions