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

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Solution

$9 y^{2} - 66 y z + 121 z^{2}$
Using $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
$= {(3 y)}^{2} + {(11 z)}^{2} - 2 \times 3 y \times 11$
$= (3 y - 11 z)^{2}$

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Question 26
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Factorise the following:9y2−66yz+121z2

9y2−66yz+121z2Using (a−b)2=a2+b2−2ab=(3y)2+(11z)2−2×3y×11=(3y−11z)2

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

$9 y^{2} - 66 y z + 121 z^{2}$
Using $(a - b)^{2} = a^{2} + b^{2} - 2 a b$
$= {(3 y)}^{2} + {(11 z)}^{2} - 2 \times 3 y \times 11$
$= (3 y - 11 z)^{2}$