Question

x2+xy, xz+yz, x2+2xy+y² gcd of the following algebraic expressions​

Answer 1

Answer:

Let’s find G.C.D

Class 8th

West Bengal - Mathematics

14. HCF and LCM of Algebraic Expression

Answer :

Factors of x2 + xy=x(x + y)

Factors of xz + yz=z(x + y)

Factors of x2 + 2xy + y2=(x + y)2 … (from properties of (a + b)2)

GCD is the greatest common divisor, which is equal to the product of all the common divisors.

∴ the GCD of x2 + xy,xz + yz, x2 + 2xy + y2 is (x + y)

Step-by-step explanation:

Hope it help you....