Question

Factorize 8a^3+27b^3+36a^2b+54ab^2​

Answer 1

Answer:

(a + b)³ = a³ + b³ + 3b(a + b)

we get,

8a³ + 27b³ + 36a²b +54ab²

using the formula we can it write it as

= = (2a)³ + (3b)³ + 3(2a)(3b)(2a + 3b)

We can write it as

= (2a + 3b)³\

8a³+27b³ +36a²b +54ab² = (2a +

3b) (2a + 3b) (2a + 3b)

Answer 2

Answer:

(2a+3b)(2a+3b)(2a+3b)

Step-by-step explanation:

8a³+27b³+36a²b+54ab²

=8a³+36a²b+54ab²+27b³

=(2a)³+3×(2a)²×3b+3×2a×(3b)²+(3b)³

=(2a+3b)³

=(2a+3b)(2a+3b)(2a+3b)

Formula used-

(a+b)³=a³+3a²b+3ab²+b³

Hope it helps you...

Pls mrk me brainliest...