Question

Factorise 9y²-12y+4​

Answer 1

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${9y}^{2} - 12y + 4$

${(3y)}^{2} - 2 \times 3y \times 2 + {(2)}^{2}$

$\rm\orange{Using\: Identity}$

$\rm\orange{{(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2}}$

${(3y - 2)}^{2}$

$(3y - 2)(3y - 2)$

Answer 2

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$9y²-12y+4$

Product =

$9 {y}^{2} \times 4$

$36 {y}^{2}$

Middle term split==}

$9 {y}^{2} - 6y - 6y + 4$

$3y(3y - 2) - 2(3y - 2)$

$(3y - 2)(3y - 2)$