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natima [27]
3 years ago
15

Simplified quotient of x+8/x^2÷2x+16/2x^2?

Mathematics
1 answer:
sineoko [7]3 years ago
8 0

Answer:

1

Step-by-step explanation:

The exprssion to be simplified is,

\frac{x + 8}{ {x}^{2}}  \div  \frac{2x + 16}{ {2x}^{2} }

=  \frac{x + 8}{ {x}^{2}} \times  \frac{ {2x}^{2} }{2x + 16}

= \frac{ {2x}^{3} +  {16x}^{2} }{{2x}^{3} + {16x}^{2}}

=1

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