Question

Factorize :- 9(x+y)³ - 16(x+y)

Answer 1

Step-by-step explanation:

please mark me as brainlisit.

Answer 2

Answer:

$\huge \sf \underline{ given\ \: : }$

$\sf9 {(x + y)}^{3} - 16( x - y)$

$\huge \sf \underline{ solution\ \: : }$

$\sf {(x + y)}^{3} \ \: :$

$\sf {x}^{3 } + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3}$

$\sf \to9 {(x + y)}^{3}$

$\sf \to9(\sf {x}^{3 } + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3} )$

$\sf \to9 {x}^{3} + 27 {x}^{2} y + 27x {y}^{2} + 9 {y}^{3}$

$\sf \to16(x - y)$

$\sf \to16x - 16y$

$\sf \to9 {x}^{3} + 27 {x}^{2} y + 27x {y}^{2} + 9 {y}^{3} \\ \sf \: \sf \: \: \: \: \: \: \: 16x - 16y \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Step-by-step explanation: