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SIZIF [17.4K]
2 years ago
11

Simplify the expression below.

Mathematics
1 answer:
Degger [83]2 years ago
6 0

Answer:

6x^2 +8x

Step-by-step explanation:

(12x^3 -14x^2 -40x) / (2x-5)

Factor the numerator by factoring out the greatest common factor

2x( 6x^2 -7x-20) / (2x-5)

Factor inside the parentheses

2x (3x+4)(2x-5)/ (2x-5)

Cancel like terms

2x( 3x+4)

Distribute

6x^2 +8x

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Domain, on an "even root" context, means, an even root cannot have a negative radicand, since  say for example \bf \sqrt{-25}\ne -5\qquad why?\implies (-5)(-5)=25

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so... for the case of 20-6x
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so.. that's not a good value for "x"

thus, the domain, or values "x" can safely take on, are all real numbers from 10/3 onwards, or to infinity if you wish
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