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Which expressions are equivalent to (2^2-9) (x + 3)?
Select the THREE equivalent expressions.
A) (x+3)^2 (x – 3)
B) (0 - 3)^2 (x+3)
C) (x+3)^3
D) (x + 3) (x + 3) (x - 3)
E) (x+3) (x - 3) (x - 3)
F) [ (x)^2 + (3)^2] (x - 3)​

Respuesta :

MrRoyal

Answer:

[tex](x^2-3^2)(x+3)[/tex]

[tex](x-3)(x+3)(x+3)[/tex]

[tex](x-3)(x+3)^2[/tex]

Step-by-step explanation:

Given

[tex](x^2-9)(x+3)[/tex]

Required

Select 3 equivalent expressions

[tex](x^2-9)(x+3)[/tex]

Express 9 as 3^2

[tex](x^2-3^2)(x+3)[/tex] --- This is one equivalent expression

Take [tex]x^2 - 3^2[/tex] as difference of two squares

[tex](x-3)(x+3)(x+3)[/tex] -- This is another equivalent expression:

Solving further:

[tex](x-3)(x+3)(x+3)[/tex] becomes

[tex](x-3)(x+3)^2[/tex]   -- This is another equivalent expression:

Hence, the equivalent expressions are:

[tex](x^2-3^2)(x+3)[/tex]

[tex](x-3)(x+3)(x+3)[/tex]

[tex](x-3)(x+3)^2[/tex]