Factorise 3x^5 +1536x^2y^3
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◢GIVEN :-
![= > 3 {x}^{5} + 1536 {x}^{2} . {y}^{3} \\ \\ = > 3 {x}^{2} ( {x}^{3} + 512 {y}^{3} ) \\ \\ = > 3 {x}^{2} [ {x}^{3} + {(8y)}^{3} ] \\ \\ = > 3 {x}^{5} + 1536 {x}^{2} . {y}^{3} \\ \\ = > 3 {x}^{2} ( {x}^{3} + 512 {y}^{3} ) \\ \\ = > 3 {x}^{2} [ {x}^{3} + {(8y)}^{3} ] \\ \\](https://tex.z-dn.net/?f=+%3D+%26gt%3B+3+%7Bx%7D%5E%7B5%7D+%2B+1536+%7Bx%7D%5E%7B2%7D+.+%7By%7D%5E%7B3%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+3+%7Bx%7D%5E%7B2%7D+%28+%7Bx%7D%5E%7B3%7D+%2B+512+%7By%7D%5E%7B3%7D+%29+%5C%5C+%5C%5C+%3D+%26gt%3B+3+%7Bx%7D%5E%7B2%7D+%5B+%7Bx%7D%5E%7B3%7D+%2B+%7B%288y%29%7D%5E%7B3%7D+%5D+%5C%5C+%5C%5C+)
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![NOW \: \: USING \: \: THIS \: \: PROPERTY \\ \\ = > 3 {x}^{2} (x + 8y)[ {x}^{2} - 8xy + {(8y)}^{2} ] \\ \\ = > 3 {x}^{2} (x + 8y)( {x}^{2} - 8xy + 64 {y}^{2} ) NOW \: \: USING \: \: THIS \: \: PROPERTY \\ \\ = > 3 {x}^{2} (x + 8y)[ {x}^{2} - 8xy + {(8y)}^{2} ] \\ \\ = > 3 {x}^{2} (x + 8y)( {x}^{2} - 8xy + 64 {y}^{2} )](https://tex.z-dn.net/?f=NOW+%5C%3A+%5C%3A+USING+%5C%3A+%5C%3A+THIS+%5C%3A+%5C%3A+PROPERTY+%5C%5C+%5C%5C+%3D+%26gt%3B+3+%7Bx%7D%5E%7B2%7D+%28x+%2B+8y%29%5B+%7Bx%7D%5E%7B2%7D+-+8xy+%2B+%7B%288y%29%7D%5E%7B2%7D+%5D+%5C%5C+%5C%5C+%3D+%26gt%3B+3+%7Bx%7D%5E%7B2%7D+%28x+%2B+8y%29%28+%7Bx%7D%5E%7B2%7D+-+8xy+%2B+64+%7By%7D%5E%7B2%7D+%29)
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Swarup1998:
Good one! Keep helping. (:
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