Which one of the following is one of the factors of x2 (y – z) + y2 (z – x) – z (xy – yz – zx)?

Given: x2 (y – z) + y2 (z – x) – z(xy – yz – zx)= x2y – x2z + y2z – y2x – zxy + yz2 + z2x= xy(x – y – z) + z2(x + y) – z (x2 – y2)= xy(x – y – z) – z (x + y) (x – y – z) = (x – y – z) (xy – yz – zx)

Which one of the following is one of the factors of x2 (y – z) + y2 (z – x) – z (xy – yz – zx)?

Given: x2 (y – z) + y2 (z – x) – z(xy – yz – zx)= x2y – x2z + y2z – y2x – zxy + yz2 + z2x= xy(x – y – z) + z2(x + y) – z (x2 – y2)= xy(x – y – z) – z (x + y) (x – y – z) = (x – y – z) (xy – yz – zx)

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Which one of the following is one of the factors of x² (y – z) + y² (z – x) – z (xy – yz – zx)?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

(xz – yx – z) (x – yz – zx)

(x - y - z)(xy - yz - zx)

(y – z) (x – yz – z)

(yx – y – z) (z – yz – xz)

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given: x² (y – z) + y² (z – x) – z(xy – yz – zx)
= x²y – x²z + y²z – y²x – zxy + yz² + z²x
= xy(x – y – z) + z²(x + y) – z (x² – y²)
= xy(x – y – z) – z (x + y) (x – y – z)