Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Connect with professionals on our platform to receive accurate answers to your questions quickly and efficiently. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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 appreciate your time. Please revisit us for more reliable answers to any questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.