Respuesta :

Hagrid
A2 - (B + C) = (3x - 4)2 - ((x + 7)+ (x2 + 2))
A2 - (B + C) = 9x2 - 24x + 16 - (x2 + x + 9)
A2 - (B + C) = 9x2 - 24x + 16 - x2 - x - 9
A2 - (B + C) = 8x2 - 25x + 7

So, the answer is
A:
8x2 – 25x + 7

Answer: [tex]8x^2 - 25x + 7[/tex]

Step-by-step explanation:

Here, [tex]A = 3x - 4[/tex], [tex]B = x + 7[/tex] and [tex]C = x^2 + 2[/tex]

[tex]A^2 - (B + C)= (3x-4)^2-(x+7+x^2+2)[/tex]     ( By putting the values)

= [tex] (3x)^2+ (4)^2- 2\times 3x\times 4- x- 7 - x^2 -2[/tex]    ( solving the brackets)

=  [tex] 9x^2+ 16 - 24x - x- 7 - x^2 -2[/tex]

=  [tex] 8x^2- 25x + 7[/tex]        ( By operating like terms)

⇒ [tex]A^2 - (B + C) = 8x^2- 25x + 7[/tex]

Thus, Option A is correct.

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