Answered

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)

Verified Answer :

Answer:

The Given Expression is

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

Option  \(13r^2(2 rs + 4 r^3 - 3 s^4)\) is correct option.

Answer:

Option 3rd is correct

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

Step-by-step 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, \(13r^2(2rs+4r^3-3s^4)\)

Related Questions