Question

8 (x+y)³-50 (x+y) please give me the answer ​

Answer 1

QUESTION⤵️

8 (x+y)³-50 (x+y)

ANSWER⤵️

$2(x+y)[4(x+y) ^2 −25]$

$2(x+y)[2^2 (x+y) ^2 −5^ 2 ]$

$=2(x+y)[(2x+2y)^2-5^2 ]$

$=2(x+y)[(2x+2y+5)(2x+2y−5)]$

$\boxed { \purple { Since, \:a^{2} - b^{2} = ( a + b )( a - b )}}$

$= 2(x+y)(2x+2y+5)(2x+2y-5)=2(x+y)(2x+2y+5)(2x+2y−5)$

Therefore.,

$\blue {Factorisation \:of \: 8(x+y)^{3} - 50(x+y) } \\ Factorisationof8(x+y)$

$\orange { = 2(x+y)(2x+2y+5)(2x+2y-5)}=2(x+y)(2x+2y+5)(2x+2y−5)</p><p>$

hope it helps

Answer 2

kamanannanakakanabeusbaiamnauanwhsnenwkwnsmmsism