Question

4. If (3a + 2y) = 7, ay = 2m, find 27a3 +8y3.o​

Answer 1

Step-by-step explanation:

27a³ + 8y³ = 343 - 168m

Step-by-step explanation:

We are given that (3a + 2y) = 7 and ay = 2m and we have to find the value of 27a³ + 8y³.

Now, (3a + 2y) = 7 ........ (1)

Cubing both sides we get,

(3a)³ + (2y)³ + 3(3a)(2y)(3a + 2y) = 7³

⇒ 27a³ + 8y³ + 12(ay)(7) = 343 {Since, (3a + 2y) = 7, from equation (1)}

⇒ 27a³ + 8y³ = 343 - 12(2m)(7)  {Since, ay is given to be 2m}

⇒ 27a³ + 8y³ = 343 - 168m (Answer

Answer 2

Answer:

0

Step-by-step explanation:

27a³ + 8b³ - 125c³= (3a)³+ (2b)³ + (-5c)³

3a + 2b = 5c

3a + 2b - 5c = 0

Hence, (3a)³ + (2b)^3 + (-5c)³ = 3 (3a) (2b)(-5c)

= -90 abc = -90 x 0 = 0

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