Factor each expression?

1)
8j³ + 4j² + 10j + 5
= (8j³ + 4j²) + (10j + 5)
= 4j²(2j + 1) + 5(2j + 1)
= (4j² + 5)(2j + 1)

2)
10s³ + 25s² + 8s + 20
= (10s³ + 25s²) + (8s + 20)
= 5s²(2s + 5) + 4(2s + 5)
= (5s² + 4)(2s + 5)

3)
18r³ - 12r² + 21r - 14
= (18r³ - 12r²) + (21r - 14)
= 6r²(3r - 2) + 7(3r - 2)
= (6r² + 7)(3r - 2)

4)
10s³ + 80s² - 7s - 56
= (10s³ + 80s²) - (7s + 56)
= 10s²(s + 8) - 7(s + 8)
= (10s² - 7)(s + 8)

5)
24c³ - 84c² + 10c - 35
= (24c³ - 84c²) + (10c - 35)
= (24c³ - 84c²) + (10c - 35)
= 12c²(2c - 7) + 5(2c - 7)
= (12c² + 5)(2c - 7)

6)
32x³ + 8x² + 48x + 12
= (32x³ + 8x²) + (48x + 12)
= 8x²(4x + 1) + 12(4x + 1)
= (8x² + 12)(4x + 1)
= 4(2x² + 3)(4x + 1)

7)
32k⁴ - 16k³ + 12k² - 6k
= (32k⁴ - 16k³) + (12k² - 6k)
= 16k³(32k - 1) + 6k(2k - 1)
= (16k³ + 6k)(2k - 1)
= 2k(8k² + 3)(2k - 1)

8)
30b⁴ - 45b³ - 10b² + 15b
= (30b⁴ - 45b³) - (10b² - 15b)
= 15b³(2b - 3) - 5b(2b - 3)
= (15b³ - 5b)(2b - 3)
= 5b(3b² - 1)(2b - 3)

9)
63j⁴ + 84j³ - 18j² - 24j
= (63j⁴ + 84j³) - (18j² + 24j)
= 21j³(3j + 4) - 6j(3j + 4)
= (21j³ - 6j)(3j + 4)
= 3j(7j² - 2)(3j + 4)

10)
12e⁴ + 18e³ + 36e² + 54e
= (12e⁴ + 18e³) + (36e² + 54e)
= 6e³(2e + 3) + 18e(2e + 3)
= (6e³ + 18e)(2e + 3)
= 6e(e² + 3)(2e + 3)

8j³ + 4j² + 10j + 5
4j²(2j + 1) + 5(2j + 1)
(4j² + 5)(2j + 1)


the others are similar.