factorise y³-7y+12 please anwer i shoul submit it you will get brainly answer tag
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Correct Question
Factorise
y² - 7y + 12
The Question reasoning incorrect is that the equation (i.e., y³ - 7y + 12) can't be factorised completely.
Solution:-
y² - 7y + 12
→ y² - 4y - 3y + 12
→ y(y - 4) - 3(y - 4)
→ (y - 3)(y - 4)
Hence, Factorized.
Explaination:-
To factorise a quadratic equation, we split the middle term.
We split it in such a manner that 2 numbers should obtain a product of the first and the last term and the sum of those numbers should be the middle term.
Hence, we want to numbers such that, their product should be
1 × 12 = 12
And sum should be -7
Numbers are -3 and -4
-3 × -4 = 12
-3 + (-4) = -7
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