Question

spilt middle term y^2-5y+6
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Answer 1

Answer:

y^2-3y-2y+6

Step-by-step explanation:

y^2-5y+6

y^2-3y-2y+6

y(y-3)-2(y-3)

(y-2)(y-3)

Answer 2

$: \longrightarrow \underline{{ \huge{ \mathfrak{A}}} \rm{nswer :-}}$

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–» y² - 5y + 6 = 0

To split the middle term, take the prime factorization of 6 = 2 × 3. Now find two factors of 6 which on multiplying gives 6 and either on adding or subtracting give the middle term i.e. - 5.

–» y² - 2y - 3y + 6 = 0

Now, take the common,

–» y(y - 2) - 3(y - 2) = 0

–» (y - 3) (y - 2) = 0

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Therefore,

=⟩ y - 3 = 0

=⟩ y = 3

=⟩ y - 2 = 0

=⟩ y = 2

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Required Answer :-

• y = 3 or 2.

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