Jawaban:

19. 2a²-32

=2(a²-16)

=2(a-4)(a+4)

20. 7p²-63

=7(p²-9)

=7(p-3)(p+3)

21. 9x²-36y²

=9(x²-4y²)

=9(x-2y)(x+2y)

22. 8m²-32n²

=8(m²-4n²)

=8(m-2n)(m+2n)

23. p⁴-16

=(p²-4)(p²+4)

=(p-2)(p+2)(p²+4)

24. a²b²-16c²

=(ab)²-4²c²

=(ab)²-(4c)²

=(ab-4c)(ab+4c)

25. 16x⁴-1

=(4x²-1)(4x²+1)

=(2x-1)(2x+1)(4x²+1)

26. 16x⁴-81y⁴

=(4x²-9y²)(4x²+9y²)

=(2x-3y)(2x+3y)(4x²+9y²)

27. 3m⁴-48

=3(m⁴-16)

=3(m²-4)(m²+4)

=3(m-2)(m+2)(m²+4)

28. 2m⁴-32n⁴

=2(m⁴-16n⁴)

=2(m²-4n²)(m²+4n²)

=2(m-2n)(m+2n)(m²+4n²)

29. 80-5p⁴

=5(16-p⁴)

=5(4-p²)(4+p²)

=5(2-p)(2+p)(4+p²)

30. 48p⁴-3q⁴

=3(16p⁴-q⁴)

=3(4p²-q²)(4p²+q²)

=3(2p-q)(2p+q)(4p²+q²)

31. (m+n)²-4

=(m+n)²-2²

=(m+n-2)(m+n+2)

32. (x-y)²-1

=(x-y)²-1²

=(x-y-1)(x-y+1)

33. 4a²-(b-c)²

=(2a-(b-c))(2a+(b-c))

=(2a-b+c)(2a+b-c)

34. 25m²-9(n+p)²

=(5m-3(n+p))(5m+3(n+p))

=(5m-3n-3p)(5m+3n+3p)

35. (p+q)²-(p-q)²

=2q×2p

=4pq

36. 4(x-y)²-(x+y)²

(2(x-y)-(x+y))(2(x-y)+(x+y))

=(2x-2y-x-y)(2x-2y+x+y)

=(x-3y)(3x-y)