Math, asked by SUMEDHATH, 1 year ago

FACTORIZE : 27X³+125Y³
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Answers

Answered by Abhishekgold
11
27x3+125y3
(3x)3+(5y)3
according to a3 +b3 identity

(a+b)(a2+b2-ab)
(3x+5y)(9x2+25y2-15xy)
Answered by Deepsbhargav
27
☆HEY FRIEND!!!! ☆

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HERE IS YOUR ANSWER ☞
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we \: know \: that \:  =  >  \\  \\ ( {a}^{3}  +  {b}^{3} ) = ( {a} + b)( {a}^{2}   - ab  +  {b}^{2} ) \\  \\ now \: using \:this \: property \:  \\  \\  \\ 27 {x}^{3}  + 125 {y}^{3}   \\  \\  = ( {3x)}^{2}  + ( {5y)}^{2}  \\  \\  = (3x + 5y)(( {3x)}^{2}  - (3x)(5y) + ( {5y)}^{2} ) \\  \\  = (3x + 5y)(9 {x}^{2}  - 15xy + 25 {y}^{2} ) \:  \:  \:  \:




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