Question

Factor 26r3s + 52r5 – 39r2s4. What is the resulting expression?

13(2r3s + 4r5 – 3r2s4)
13r2s(2r + 4r3 – 3s3)
13r2(2rs + 4r3 – 3s4)
13r2(26r3s + 52r5 – 39r2s4)

Answer 1

The Given Expression is

→
`26r^3s + 52r^5 -39r^2s^4\\13* 2* r* r^2 * s + 13* 2* 2* r^2* r^2* r- 13 * 3* r^2* s * s^3\\\\\text{Taking out common factors}\\\\13r^2(2 rs + 2* 2 r^3 -3 s^4)\\\\13r^2(2 r s+ 4 r^3 - 3 s^4)`

Option
`<strong>13r^2(2 rs + 4 r^3 - 3 s^4)` is correct option.

Answer 2

Option 3rd is correct

`13r^2(2rs+4r^3-3s^4)`

Explanation:

GCF (Greatest common factor) is the largest number that divides the two number.

Factor
`26r^3s+52r^5-39r^2s^4`

Find the GCF of the given expression.

GCF of
`26r^3s`,
`52r^5` and
`39r^2s^4` is,
`13r^2`

then;

`13r^2(2rs+4r^3-3s^4)`

Therefore, the resulting expression is,
`13r^2(2rs+4r^3-3s^4)`