Question

find pq,qr,pr,pqr if​

Answer 1

Answer:

a) x²y² - x³z - y³z + xyz²

b) y²z² - xy³ - xz³ + x²yz

c) x²z² - x³y - yz³ + xy²z

d) x²y²z² - x³y³ - y³z³ - x³z³ + x⁴yz + xy⁴z + xyz⁴ - x²y²z⁴

Step-by-step explanation:

We are given,

p = x² - yz

q = y² - xz

r = z² - xy

We must find,

a)

pq

= (x² - yz)(y² - xz)

Using Distributive property,

= x² × y² - x² × xz - y² × yz + xz × yz

= x²y² - x³z - y³z + xyz²

b)

qr

= (y² - xz)(z² - xy)

Similarly,

= y²z² - xy³ - xz³ + x²yz

c)

pr

= (x² - yz)(z² - xy)

= x²z² - x³y - yz³ + xy²z

d)

pqr

(x² - yz)(y² - xz)(z² - xy)

= (x²y² - x³z - y³z + xyz²)(z² - xy)

= (x²y²z² - x³z³ - y³z³ + xyz⁴ - x³y³ + x⁴yz + xy⁴z - x²y²z⁴)

= (x²y²z² - x³y³ - y³z³ - x³z³ + x⁴yz + xy⁴z + xyz⁴ - x²y²z⁴)

Hope it helped and believing you understood it........All the best