Question

8(x + y)3 – 50 (x + y)​

Answer 1

Answer:

-752x-752y

Step-by-step explanation:

8(x+y)3-50(x+y)

=8(2x+2y)3-50

=16x+16y*3-50

=-47(16x+16y)

=-752x-752y

Answer 2

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

$= 2(x+y) [ 4(x+y)^{2} - 25 ]\\= 2(x+y) [ 2^{2}(x+y)^{2} - 5^{2} ] \\= 2(x+y) [ (2x+2y)^{2} - 5^{2}]\\=2(x+y)[ (2x+2y+5)(2x+2y-5)]$

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

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

Therefore.,

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

$\green { = 2(x+y)(2x+2y+5)(2x+2y-5)}$

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