What is factor 26r^3s+52r^5-39r^2s^4 ?

The solution to factor 26r^3s+52r^5-39r^2s^4 is 13r^2(2rs+4r^3-3s^4)

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

factor

26 r^{3} s + 52 r^{5} - 39 r^{2} s^{4}

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

Solution steps

26 r^{3} s + 52 r^{5} - 39 r^{2} s^{4}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

r^{3} s = r^{2} r, r^{5} = r^{2} r^{3}

= 26 r^{2} r + 52 r^{2} r^{3} - 39 r^{2} s^{4}

Rewrite

- 39

3 \cdot 13

Rewrite

52

4 \cdot 13

= 2 \cdot 13 r^{2} r + 4 \cdot 13 r^{2} r^{3} + 3 \cdot 13 r^{2} s^{4}

Factor out common term

13 r^{2}

= 13 r^{2} (2 rs + 4 r^{3} - 3 s^{4})

(2 y^{2})^{3}

3 (x + 1) = 2 (x + 1) + 2 x

(- 8) (- \frac{5}{2})

x^{2} + 12 x + 23 = 0

- 0.3 (2 x - 5) = 0.7 (3 - x)

What is factor 26r^3s+52r^5-39r^2s^4 ?
The solution to factor 26r^3s+52r^5-39r^2s^4 is 13r^2(2rs+4r^3-3s^4)