Question

factorise the following using appropriate identifies (i) 9x² + 6xy + y² , (ii) 4y² - 4y + 1 , (iii) x² - y²/100

Answer 1

may this help u.......

Answer 2

$\mathbb{ ANSWER }$ :

(i) 9x² + 9xy + y²

[ using : (a+b)² = a² + 2ab + b² ]
Here,
a = 3x , b = y

So,
=> (3x)² + 2*3x*y + (y)²
=> (3x + y)²
=> (3x + y) (3x + y)

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(ii) 4y² - 4y + 1

[using : (a - b)² = a² - 2ab + b² ]
Here,
a = 2y , b = 1

So,
=> (2y)² / 2*2y*1 + (1)²
=> (2y - 1)²
=> (2y - 1) (2y - 1)

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(iii) x² - y²/100

[ using : a² - b² = (a+b) (a-b) ]
Here,
a = x
b = $\frac{y}{100}$

So,
$= > {(x)}^{2} - {( \frac{y}{10}) }^{2} \\ \\ = >( x + \frac{y}{10} )(x - \frac{y}{10} )$