Question

Factors of 4y^{2}-12y+9

Answer 1

Answer:

• 4y^[2]-12y+9

• (2y)^2-12y+3^2

• (2y)^2-2×2y×3+3y^2

• (2y)^2+(3)^2-2×2y×3

[using (a-b)^2=a^2+b^2-2ab. Hence,a=2y,b=3]

= (2y-3)^2

Answer 2

Answer:

$y = \frac{3}{2}$

Step-by-step explanation:

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

By splitting the middle term,

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

$2y(2y - 3) \: \: \: - 3(2y - 3)$

$(2y - 3) \: \: \: \: \: (2y - 3)$

$y = \frac{3}{2} \: \: \: \: \:$