1. $$ p-q-x(q-p) $$ 2i $$ x(a+b)-(b+a) $$ 3. $$ a x-b x+a y-b y-a+b $$ 4. $$ 3 x-6 x y-2 y+1 $$ 5. $$ 4 p^{3}-2 p-p q^{2}+q^{1} $$ 6. $$ 6 m^{2}-2 m n-3 m p+n p $$ 7. $$ 8 a m-10 a n-12 b m+15 b n $$ 8. $$ 3 x^{2}-2 x y+2 y^{2}-3 x y \chi $$ 9. $$ x^{3}-x^{2} y+y^{3}-x y^{2} $$ 10. $$ m^{2}-9 n^{2}-3 k m+9 k n \chi $$

Question

UpStudy AI · Accepted Answer

Simplify the expression by following steps:
- step0: Solution:
  $$8am-10an-12bm+15bn$$
Calculate or simplify the expression $$ m^{2}-9 n^{2}-3 k m+9 k n \chi $$.
Simplify the expression by following steps:
- step0: Solution:
  $$m^{2}-9n^{2}-3km+9kn\chi $$
Calculate or simplify the expression $$ 4 p^{3}-2 p-p q^{2}+q^{1} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$4p^{3}-2p-pq^{2}+q$$
Calculate or simplify the expression $$ x(a+b)-(b+a) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$x\left(a+b\right)-\left(b+a\right)$$
- step1: Remove the parentheses:
  $$x\left(a+b\right)-b-a$$
- step2: Expand the expression:
  $$xa+xb-b-a$$
Calculate or simplify the expression $$ p-q-x(q-p) $$.
Simplify the expression by following steps:
- step0: Solution:
  $$p-q-x\left(q-p\right)$$
- step1: Expand the expression:
  $$p-q-xq+xp$$
Calculate or simplify the expression $$ 3 x-6 x y-2 y+1 $$.
Simplify the expression by following steps:
- step0: Solution:
  $$3x-6xy-2y+1$$
Calculate or simplify the expression $$ a x-b x+a y-b y-a+b $$.
Simplify the expression by following steps:
- step0: Solution:
  $$ax-bx+ay-by-a+b$$
Calculate or simplify the expression $$ 6 m^{2}-2 m n-3 m p+n p $$.
Simplify the expression by following steps:
- step0: Solution:
  $$6m^{2}-2mn-3mp+np$$
Calculate or simplify the expression $$ 3 x^{2}-2 x y+2 y^{2}-3 x y \chi $$.
Simplify the expression by following steps:
- step0: Solution:
  $$3x^{2}-2xy+2y^{2}-3xy\chi $$
Calculate or simplify the expression $$ x^{3}-x^{2} y+y^{3}-x y^{2} $$.
Simplify the expression by following steps:
- step0: Solution:
  $$x^{3}-x^{2}y+y^{3}-xy^{2}$$
Here are the simplified forms of the given expressions:

1. **Expression:** $$ p - q - x(q - p) $$  
   **Simplified:** $$ p - q - xq + xp $$

2. **Expression:** $$ x(a + b) - (b + a) $$  
   **Simplified:** $$ xa + xb - b - a $$

3. **Expression:** $$ ax - bx + ay - by - a + b $$  
   **Simplified:** $$ ax - bx + ay - by - a + b $$

4. **Expression:** $$ 3x - 6xy - 2y + 1 $$  
   **Simplified:** $$ 3x - 6xy - 2y + 1 $$

5. **Expression:** $$ 4p^{3} - 2p - pq^{2} + q $$  
   **Simplified:** $$ 4p^{3} - 2p - pq^{2} + q $$

6. **Expression:** $$ 6m^{2} - 2mn - 3mp + np $$  
   **Simplified:** $$ 6m^{2} - 2mn - 3mp + np $$

7. **Expression:** $$ 8am - 10an - 12bm + 15bn $$  
   **Simplified:** $$ 8am - 10an - 12bm + 15bn $$

8. **Expression:** $$ 3x^{2} - 2xy + 2y^{2} - 3xy\chi $$  
   **Simplified:** $$ 3x^{2} - 2xy + 2y^{2} - 3xy\chi $$

9. **Expression:** $$ x^{3} - x^{2}y + y^{3} - xy^{2} $$  
   **Simplified:** $$ x^{3} - x^{2}y + y^{3} - xy^{2} $$

10. **Expression:** $$ m^{2} - 9n^{2} - 3km + 9kn\chi $$  
    **Simplified:** $$ m^{2} - 9n^{2} - 3km + 9kn\chi $$

If you need further assistance or additional calculations, feel free to ask!
1. $$ p - q - xq + xp $$ 2. $$ xa + xb - b - a $$ 3. $$ ax - bx + ay - by - a + b $$ 4. $$ 3x - 6xy - 2y + 1 $$ 5. $$ 4p^{3} - 2p - pq^{2} + q $$ 6. $$ 6m^{2} - 2mn - 3mp + np $$ 7. $$ 8am - 10an - 12bm + 15bn $$ 8. $$ 3x^{2} - 2xy + 2y^{2} - 3xy\chi $$ 9. $$ x^{3} - x^{2}y + y^{3} - xy^{2} $$ 10. $$ m^{2} - 9n^{2} - 3km + 9kn\chi $$

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