Question
Divide and simplify. See Example 7$$\frac{x^{2}-6 x-16}{2 x^{2}-128} \div \frac{x^{2}+10 x+16}{x^{2}+16 x+64}$$
Step 1
The given expression is $$ \frac{x^{2}-6 x-16}{2 x^{2}-128} \div \frac{x^{2}+10 x+16}{x^{2}+16 x+64} $$ We can factorize the expressions as follows: $$ \frac{(x-8)(x+2)}{2(x+8)(x-8)} \div \frac{(x+8)(x+2)}{(x+8)(x+8)} $$ Show more…
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