Question

please answer these questions
if all answers were correct I will mark you a brainalist​

Answer 1

Step-by-step explanation:

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Answer 2

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)