Question

find the HCF of : 17x² and 14xy​

Answer 1

Step-by-step explanation:

Factorizing x2 + 4x + 4 by using the identities (a + b)2, we get

(x)2 + 2(x)(2) + (2)2

= (x + 2)2

= (x + 2) (x + 2)

Also, factorizing x2 – 4, we get

(x)2 – (2)2, by using the identities of a2 - b2.

= (x + 2) (x - 2)

Therefore, H.C.F. of x2 + 4x + 4 and x2 – 4 is (x + 2).

Answer 2

Answer:

x is the highest common factor

Step-by-step explanation:

17x^2 and 14xy

1*17*x*x 1*2*7*x*y

common=1*x

HCF=x