Question

Which of the following is the greatest common factor of the terms 48s5t3u2 and 40s3tu4?

a. 6s2t2u
b. 6s3tu
c. 8s2t2u
d. 8s3tu2

Answer 1

48s^5t^3u^2 = 8s^3tu^2 * 6s^2t^2

40s^3tu^4 = 8s^3tu^2 * 5u^2

Answer: D: 8 s^3 t u^2

Answer 2

Answer: Option 'd' is correct.

Explanation:

Since we have given that

`48s^5t^3u^2\ and\ 40s^3tu^4`

We need to find the greatest common factor of the above terms:

`48s^5t^3u^2=2* 2* 2* 2* 3* s^5* t^3* u^2\\\\And,\\\\40s^3tu^4=2* 2* 2* s^5* t* u^4\\\\Greatest\ common\ factor=2^3* s^3* t* u^2=8s^3tu^2`

Hence, Option 'd' is correct.