Question

factorise the following products using appropriate identities

x²-y²/100​

Answer 1

Step-by-step explanation:

x

2

−

100

y

2

=x

2

−

10

2

y

2

=x

2

−(

10

y

)

2

Now a

2

−b

2

=(a−b)(a+b)

x

2

−(

10

y

)

2

=(x−

10

y

)(x+

10

y

).

Answer 2

Answer:

$(x + \frac{y}{10} )(x - \frac{y}{10} )$

Step-by-step explanation:

We know that, anything in the form of

a² - b² = (a+b)(a - b)

$x^{2} - \frac{y^{2} }{100}$

⇒ $(x)^2 - (\frac{y}{10} )^2$

⇒ $(x + \frac{y}{10} )(x - \frac{y}{10} )$