Respuesta :
Answer:
-3 2 6
Step-by-step explanation:
Consider this expression.
-3x2- 24x - 36
What expression is equivalent to the given expression?
-3 (x + 2)(x+6)
Drop down answer is in bold
The equivalent expression will be : - 3 (x + 2) (x + 6)
We have the following expression -
[tex]-3x^{2}[/tex] - 24x - 36
We have to find out the equivalent expression of above expression.
Expand the following expression - (x + 2)(x + 4).
Above expression can be expanded in the following way -
(x + 2)(x + 4) = x(x + 2) + 4(x + 4) = [tex]x^{2}[/tex] + 2x + 4x + 16 = [tex]x^{2}[/tex] + 2x + 16
According to question -
[tex]-3x^{2}[/tex] - 24x - 36
- 3 ([tex]x^{2}[/tex] + 8x + 12)
-3 ([tex]x^{2}[/tex] + 6x + 2x + 12)
-3 [x(x + 6) + 2(x + 6)]
-3(x + 2)(x + 6)
Hence, the equivalent expression will be : -3(x + 2)(x + 6)
To solve more questions on equivalent expression, visit the link below -
https://brainly.com/question/1184774
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