Question

Factorise each of the following polynomial by regrouping.

a) x²y + xy² + xab + yab - y²z - xyz

b) pq² - aq² + pr² - ar² + pk² - ak²​

Answer 1

Answer:

Solution :-

a) x²y + xy² + xab + yab - y²z - xyz

➞ x²y + xy² + xab + yab - xyz - y²z

➞ xy(x + y) + ab(x + y) - yz(x + y)

➞ (x + y) (xy + ab - yz)

∴ The answer of this question is (x + y) (xy + ab - yz)

b) pq² - aq² + pr² - ar² + pk² - ak²

➞ q²(p - a) + r²(p - a) + k²(p - a)

➞ (p - a) (q² + r² + k²)

∴ The answer of this question is (p - a) (q² + r² + k²)