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In the Case Find Whether the Trinomial is a Perfect Square Or Not: X2 - 4x + 16 - Mathematics

Sum

In the case find whether the trinomial is a perfect square or not:

x2 - 4x + 16 

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Solution

x2 - 4x + 16 

= (x)2 - x × 4 + (4)2

= a - ab + b2

...[Taking x = a, and 4 = b]

∴ The given trinomial cannot be expressed as a2 - 2ab + b2. Hence, it is not a perfect square.

Concept: Factorising a Perfect Square Trinomial
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 13 Factorisation
Exercise 13 (E) | Q 1.6 | Page 162
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