Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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Reduce the given Rational expression to its lowest form x3a-8x2a+2xa+4 - Mathematics

Sum

Reduce the given Rational expression to its lowest form

`(x^(3"a") - 8)/(x^(2"a") + 2x^"a" + 4)`

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Solution

x3a – 8 = (xa)3 – 23 ...(using the formula a3 – b3 = (a – b)(a2 + ab + b2)

= (xa – 2)[(xa)2 + xa × 2 + 22]

= (xa – 2) (x2a + 2xa + 4)

`(x^(3"a") - 8)/(x^(2"a") + 2x^"a" + 4) = ((x^"a" - 2)(x^(2"a") + 2x^"a" + 4))/((x^(2"a") + 2x^"a" + 4))`

= xa – 2

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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 3 Algebra
Unit Exercise – 3 | Q 6. (i) | Page 157
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