In the Case Find Whether the Trinomial is a Perfect Square Or Not: 16x2 - 16xy + Y2 - Mathematics

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Sum

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

16x2 - 16xy + y2

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Solution

16x2 - 16xy + y

= (4x)2 - 4 ×4x × y + (y)2

= a2 - 4ab + b2

...[Taking 4x = a, and y = 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 1.5 | Page 162
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