Question

8a³ + 27b³ by 2a + 3b​

Answer 1

Step-by-step explanation:

Answer

We have to factorize

8a

3

+

27b

3

+

64c

3

−

72abc

⇒ 8a

3

+ 27b

3

+ 64c

3

− 72abc= (2a)

3

+ (3b)

3

+ (4c)

3

− 3(2a)(3b)(4c)

We know that

x 3

y 3

z 3

3xyz=

(x+

y+

z)(x

2

+

y 2

z 2

xy−

yz−

zx)

So we can write given expression as

(2a+

3b+

4c)(4a

2

+

9b

2

+

16c

2

−

6ab−

12bc−

8ac)

=> This is your Answer...