What is factor 36r^2s+48rs^2+16s^3 ?

The solution to factor 36r^2s+48rs^2+16s^3 is 4s(3r+2s)^2

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factor 36r^2s+48rs^2+16s^3

factor

36 r^{2} s + 48 r s^{2} + 16 s^{3}

4 s (3 r + 2 s)^{2}

Solution steps

36 r^{2} s + 48 r s^{2} + 16 s^{3}

Factor out common term

4 s : 4 s (9 r^{2} + 12 rs + 4 s^{2})

= 4 s (9 r^{2} + 12 rs + 4 s^{2})

Factor

9 r^{2} + 12 rs + 4 s^{2} : (3 r + 2 s) (3 r + 2 s)

= 4 s (3 r + 2 s) (3 r + 2 s)

Apply exponent rule:

aa = a^{2}

(3 r + 2 s) (3 r + 2 s) = (3 r + 2 s)^{2}

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

- 8 + (- 8)

\frac{8 x}{x ^{2} - 49} + \frac{5}{x ^{2} - 4 x - 21}

- 9 - - 2 - 121 - - 2

x^{2} + 1 - 2 x

What is factor 36r^2s+48rs^2+16s^3 ?
The solution to factor 36r^2s+48rs^2+16s^3 is 4s(3r+2s)^2