Question

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

Answer 1

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 2

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