please answer these questions
if all answers were correct I will mark you a brainalist
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Answer:
1) 8a^3 + b^3 + 12a^2b + 6ab
= (2a)^3 + (b)^3 + 3(2a)^2(b) + 3(2a)(b)^2
= (2a + b)^3
= (2a + b) (2a + b) (2a + b)
2) 8a^3 - b^3 - 12a^2b + 6ab
= (2a)^3 - (b)^3 - 3(2a)^2(b) + 3(2a)(b)^2
= (2a - b)^3
= (2a - b) (2a - b) (2a - b)
3) 27 - 125a^3 - 135a + 225a^2
= (3)^3 - (5a)^3 - 3(3)^2(5a) + 3(3)(5a)^2
= (3-5a)^3
= (3-5a) (3-5a) (3-5a)
4) 64a^3 - 27b^3 - 144a^2b + 108ab^2
= (4a)^3 - (3b)^3 - 3(4a)^2 (13b) + 3(4a)(3b)^2
= (4a - 3b)^3
= (4a - 3b) (4a - 3b) (4a - 3b)
5) 27p^3 - 1/216 - 9/2p^2 + 1/4p
= (3p)^3 - (1/6)^3 - 3(3p)^2(-1/6) + 3(3p)(-1/6)^2
= (3p - 1/6)^3
= (3p - 1/6) (3p - 1/6) (3p - 1/6)
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