simplify 16x2-25/4x2-9/16x2-40x+25/4x2-12x+9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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simplify

16x2-25/4x2-9/16x2-40x+25/4x2-12x+9

Expert Solution
Step 1

To evaluate 16x2-254x2-916x2-40x+254x2-12x+9:

It can be written as,

16x2-25=4x2-52=4x-54x+54x2-9=2x2-32=2x-32x+316x2-40x+25=4x2-24x5+52=4x-524x2-12x+9=2x2-22x3+32=2x-32

First evaluate 16x2-40x+254x2-12x+9:

16x2-40x+254x2-12x+9=4x-522x-32

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