[tex]Answer☘️[/tex]
[tex]\large{\underline{ \boxed{ \sf{✰\:Important\:points }}}}[/tex]
[tex]\pink {\underline{ \boxed{ \sf{»\:distributive\:property }}}}[/tex]
⇝A property of functions that have a rule describing how the function can be performed to the individual components of another operation.
⇝If the operation ★ is distributive with respect to the operation °, then a★(b°c)=(a★b)°(a★c).
[tex] \sf➛(x + 3)( {x}^{2} - 5x - 7) \\[/tex]
[tex]\\ \sf \:➛ distributing \: x \: with \: ( {x}^{2} - 5x - 7) \\ \sf \: then \\ \sf \:➛ 3 \: with \: ({x}^{2} - 5x - 7)[/tex]
[tex] \sf \: ➛gives \\ \sf \: ➛{x}^{3} - 5 {x}^{2} - 7x + 3{x}^{2} - 15x - 21 \\ [/tex]
- Now arranging terms
- then adding nd subtracting like terms gives you:-
[tex] \sf➛{x}^{3} + 2 {x}^{2} - 22x - 21[/tex]
[tex] \underline{ \boxed{ \sf{✰\: Option\:D✓ }}}[/tex]
Hope it helps ~
