Question

24. Зa ^7ь — 81a^4b^4​

Answer 1

Answer:

Hope it will help you

Step-by-step explanation:

We know that,

a3 - b3 = (a - b) (a2 + a × b + b2)

Using this formula, we get

= 3a4b (a3 – 27b3)

= 3a4b [(a)3– (3b)3]

= 3a4b (a – 3b) [(a)2 + a (3b) + (3b)2]

= 3a4b (a – 3b) (a2 + 3ab + 9b2)

Answer 2

$\huge \underline \bold \pink{Solution : }$

$3 {a}^{7} b - 81 {a}^{4} {b}^{4} \\ \\ = > 3 {a}^{4} b( {a}^{3} - 27 {b}^{3} ) \\ \\ = > 3 {a}^{4} b[( {a)}^{3} - {(3b)}^{3} ] \\ \\ = > 3 {a}^{4} b(a - 3b)[ {(a)}^{2} + a.3b + {(3b)}^{2} ] \\ \\ = > 3 {a}^{4} b(a - 3b)( {a}^{2} + 3ab + {9b}^{2} )$

$\huge \fbox \green{Hope it helps ☺}$