Math, asked by pantpurnima100, 9 months ago

Factorise the expression:
y^2 - 4y + 3

Answers

Answered by aditya220906
0

Answer:

(y-1) (y-3)

Step-by-step explanation:

y² - 4y + 3

= y² - 3y - y + 3

= y (y-3) - 1 (y-3)

= (y-1) (y-3)

Hope this helps you a lot mate :)

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Thanks....

Regards,

Aditya

Answered by Arceus02
3

Qᴜᴇsᴛɪᴏɴ:-

Factorise y² - 4y + 3

Aɴsᴡᴇʀ:-

Factorisation by splitting middle term.

y² - 4y + 3

We have to find two numbers such that their sum is -4(coefficient of y) and their product is [1(coefficient of ) * 3(constant term)] that is 3

Such numbers are ==> -3 and -1 => -3 + (-1) = -4

and => -3 * -1 = 3

So,

y² - 4y + 3

=> y² - 3y - y + 3

=> y(y - 3) -1(y - 3)

=> (y - 3)(y - 1)

Aɴsᴡᴇʀ: (y - 3)( y - 1)

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