Question

factorize y^2-5y+6 ​

Answer 1

Answer:

y^2-5y+6

y^2-6y+y+6

y(y-6) -1(y-6)

(y-1) (y-6)

hope this helps u

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Answer 2

Answer:

y² −5y+6=y² −2y−3y+6

=y² −2y−3y+2×3

=y(y−2)−3(y−2)

=(y−2)(y−3)

Step by Step Solution:

STEP 1: Trying to factor by splitting the middle term.

Factoring y2-5y+6 :

The first term is, y2 its coefficient is 1 .

The middle term is, -5y its coefficient is -5 .

The last term, "the constant", is +6

Step-1 : Multiply the coefficient of the first term by the constant 1 • 6 = 6

Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + -1 = -7

-3 + -2 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and -2

y2 - 3y - 2y - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

y • (y-3)

Add up the last 2 terms, pulling out common factors :

2 • (y-3)

Step-5 : Add up the four terms of step 4 :

(y-2) • (y-3)

Which is the desired factorization

Final result :

(y - 2) • (y - 3)