Factorise
4y² - 12 + 9
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Answer:
Method 1:-
= > 4 {y}^{2} + 9 - 12y
=>4y 2 +9−12y
= > 4 {y}^{2} - 12y + 9
=>4y 2 −12y+9
Factorize it by the middle term technique/Splitting middle term technique.
=> 4 {y}^{2} - 6y - 6y + 9
=>4y 2 −6y−6y+9
=> 2y(2y - 3) - 3(2y - 3)
=>2y(2y−3)−3(2y−3)
=> (2y - 3)(2y - 3)
=>(2y−3)(2y−3)
= > (2y - 3) {}^{2}
=>(2y−3) 2
Method 2:-
=4y²+9-12y
=(2y)²+3²-2×2y×3
=(2y-3)²
I used (a-b)²=a²+b²-2ab
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