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. \( m^{2}-9 n^{2}-3 k m+9 k n \chi \)

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!