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Question

Factorise the following using appropriate identities :

1 4y2-4y+1

2 x2-y2/100

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Solution

(a)- 4y2-4y+1 .

It is quadratic equation . Splitting the middle term , we get

4y2- 2y - 2y + 1

= 2y(2y-1) -1(2y-1)

= (2y - 1)(2y -1)

Similarly you can solve the second question. Identity used here will be a2- b 2 =( a - b ) ( a + b )


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