Question

216a^3+343b^3+756a^2b+882ab^2

Answer 1

= (6a)³+(7b)³+3(6a)(7b){6a+7b}

 Using identity ,

(a+b)³= a³+b³+3ab(a+b)

 Where

a= 6a
 And b= 7b

 Thus we can easily factorise it by using this identity,

= (6a+7b)³

Hope this helps you.....✌^_^

Answer 2

Hope u like my process
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Formula to be used
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$\green \star \: \: \underline{ {x}^{3} + {y}^{3} + 3xy(x + y) = {(x + y)}^{3} } \: \: \green \star$


The simplified form of

216a³ + 343b³ +756a²b + 882ab² can be done by

$= > \it\blue { {216a}^{3} + 343 {b}^{3} + 756 {a}^{2}b + 882 {b}^{2} } \\ \\ \it = \blue{ (6a) {}^{3} + {(7b)}^{3} + 3(6a)(7b)(6a + 7b)} \\ \\ = \boxed{ \blue{ \bold {(6a + 7b)}^{3} }}$

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Hope this is ur required answer

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