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Factorisation — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHSFactorisation2 Marks
Question
In the case find whether the trinomial is a perfect square or not: $a^2 - 10a + 25$
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Answer

$a^2 - 10a + 25$
$= (a)^2 - 2 \times a \times 5 + (5)^2$
$= (a - 5)^2 [\because a^2 - 2ab + b^2 = (a - b)^2]$
$\therefore$ The given trinomial $a^2 - 10a + 25$ is a perfect square.

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