Question

a3 – 27b3 + 2a²b – 6ab2​

Answer 1

Step-by-step explanation:

Correct option is

C

(a−3b)(a

2

+5ab+9b

2

)

a

3

−27b

3

+2a

2

b−6ab

2

=(a)

3

−(3b)

3

+2ab(a−b)

=(a−3b)(a

2

+a(3b)+(3b)

2

)+2ab(a−3b)

=(a−3b)(a

2

+3ab+9b

2

+2ab)

=(a−3b)(a

2

+5ab+9b

2

)

Answer 2

${a}^{2} - 27 {b}^{3} + 2 {a}^{2} b - 6a {b}^{2} \\ \\ = > ( {a)}^{3} - (3 {b})^{3} + 2ab(a - b) \\ \\ = > (a - 3b)( {a}^{2} + a(3b) + (3b) ^{2} + 2ab(a - 3b) \\ \\ = > (a - 3b)( {a}^{2} + 3ab + 9 {b}^{2} + 2ab) \\ \\ = > (a - 3b)( {a}^{2} + 5ab + 9 {b}^{2} ) \\ \\ is \: your \: answer \: \: bye \: buddy$