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In the Case Find Whether the Trinomial is a Perfect Square Or Not: X2 + 14x + 49 - Mathematics

Sum

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

x2 + 14x + 49 

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Solution

x2 + 14x + 49 

= (x)2 + 2 × x × 7 + (7)2

= (x + 7)2    ...[a2 + 2ab + b2 =(a + b)2]

∴ The given trinomial x2 + 14x + 49 is 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 1.1 | Page 162
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