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Factorise (2a+3b)³-(2b-3b) ³

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Factorise (2a+3b)³-(2b-3b) ³

    • Posted by Kamalchandra Kamalchandr 6 years, 9 months ago

    CBSE > Class 09 > Mathematics
    • 2 answers

    Manish Singh 6 years, 9 months ago

    Same answer ??

    2Thank You

    Gaurav Seth 6 years, 9 months ago

    Step by step solution :

    Step  1  :

    <pre>  <a id="substep1.1">1.1</a>    Evaluate :  (2a+3b)3   =  8a3+36a2b+54ab2+27b3   <a id="substep1.2">1.2</a>    Evaluate :  (2a-3b)3   =  8a3-36a2b+54ab2-27b3 </pre>

    Step  2  :

    Pulling out like terms :

     <a id="substep2.1">2.1</a>     Pull out like factors :

       72a2b + 54b3  =   18b • (4a2 + 3b2) 

    Final result :

    <pre> 18b • (4a2 + 3b2)</pre>

    3Thank You

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