Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

10. खण्डीकरण गर्नुस् (Factorize)
[tex]\[ y^2 - xy + x - y \][/tex]

11. \text{विएएकी बीजीय अभिव्यक्तिहरूमा साधा लगाउनुहोस्} (Find a common factor in the given algebraic expressions):
[tex]\[ m(x-y), \ n(y-x) \][/tex]

Sagot :

GinnyAnswer
Factorizing [tex]\( y^2 - xy + x - y \)[/tex]:

Step 1: Group the terms in pairs that have common factors.
[tex]\[ (y^2 - xy) + (x - y) \][/tex]

Step 2: Factor out the common factor from each pair.
[tex]\[ y(y - x) + 1(x - y) \][/tex]

Notice that [tex]\( (x - y) \)[/tex] can be seen as [tex]\(-(y - x)\)[/tex]:
[tex]\[ y(y - x) - 1(y - x) \][/tex]

Step 3: Factor out the common factor [tex]\( (y - x) \)[/tex]:
[tex]\[ (y - x)(y - 1) \][/tex]

Step 4: Simplify, keeping in mind that the negative sign distributes:
[tex]\[ - (x - y)(y - 1) \][/tex]

Therefore, the factorized form of the expression [tex]\( y^2 - xy + x - y \)[/tex] is:
[tex]\[ -(x - y)(y - 1) \][/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.