Question

Factorise :27xsquare +125ycube

Answer 1

Answer:

$\huge\bigstar\huge\tt\underline\red{ᴀɴsᴡᴇʀ }\bigstar$

Here is your answer

$27 {x}^{2} + 125 {y}^{3}$

${3}^{3} {x}^{2} + {5}^{3} {y}^{3}$

$( {3}^{3} + {5}^{3} ) {x}^{2} {y}^{3}$

$(3 + 5)(9 + 25 - 15) {x}^{2} {y}^{3}$

here this identify is used:-

${x}^{3} - {y}^{3} = (x + y)( {x}^{2} + {y}^{2} - xy)$

Hope it helps you..

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Thankyou:)