Question

Factor 9y2 - 12y + 4. 1) (3y - 4)(y + 1) 2) (3y - 2) 2 3) (3y - 2)(3y + 2)

Please Help

Answer 1

$Given \: Quadratic \: polynomial :$

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

/* Splitting the middle term,we get */

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

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

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

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

Therefore.,

$\red{ 9y^{2}-12y+4}\green { = (3y-2)^{2}}$

$Option \:\pink{ ( (2) } \: is \: correct$

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