Factorize completely x y-x m-m y+m².

Correct Answer is : (x−m)(y−m)\;\;(x-m)(y-m)(x−m)(y−m)

Correct Answer is : (x−m)(y−m)\;\;(x-m)(y-m)(x−m)(y−m)

Test Index

BECE Mathematics 2022 Paper

Question : 10

Total: 40

x y-x m-m y+m^2

Solution:

Concept:

Group terms to find a common binomial factor.

Explanation:

Start with

xy - xm - my + m^2

Group the first two terms and the last two terms:

(xy - xm) + (-my + m^2)

Factor out

x

from the first group:

x(y - m)

Factor out

-m

from the second group:

-m(y - m)

Now the expression becomes

x(y - m) - m(y - m)

Take out the common factor

(y - m)

(y - m)(x - m)

This is the same as

(x - m)(y - m)

Answer:

Option B:

(x - m)(y - m)

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