Factorise following: 9 y^{2}-66 y z+121 z^{2}

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2. Polynomials

easy

Factorise the following:

$9 y^{2}-66 y z+121 z^{2}$

Option A

Option B

Option C

Option D

Solution

We have,

$9 y^{2}-66 y z+121 z^{2}=(-3 y)^{2}+2(-3 y)(11 z)+(11 z)^{2}$

$=(-3 y+11 z)^{2} \quad\left[\because a^{2}+2 a b+b^{2}=(a+b)^{2}\right]$

$=(-3 y+11 z)(-3 y+11 z)$

$=(3 y-11 z)(3 y-11 z)$

Standard 9

Mathematics

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