John purchased 8 tickets to a talent show and spent $25. he bought a combination of child tickets for $3 each and adult tickets for $4 each. how many child tickets did john purchase

Adult tickets (A): $4

Child tickets (C): $3

Total Cost:      4A + 3A = 25 → 1( 4A + 3A = 25)  → 4A + 3A = 25                

Total Tickets:    A +  C  = 8   →  -4(A + C = 8)       → -4A - 4C = -32

                                                                                          -C  = -8

                                                                                            C = 8

8 child tickets

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

were is the equation