What is factor 15r^2+2rs-s^2 ?

The solution to factor 15r^2+2rs-s^2 is (5r-s)(3r+s)

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factor 15r^2+2rs-s^2

factor

15 r^{2} + 2 rs - s^{2}

(5 r - s) (3 r + s)

Solution steps

15 r^{2} + 2 rs - s^{2}

Break the expression into groups

= (15 r^{2} - 3 rs) + (5 rs - s^{2})

Factor out

3 r

from

15 r^{2} - 3 rs : 3 r (5 r - s)

Factor out

s

from

5 rs - s^{2} : s (5 r - s)

= 3 r (5 r - s) + s (5 r - s)

Factor out common term

5 r - s

= (5 r - s) (3 r + s)

\frac{1}{27} x - \frac{4}{9} = \frac{2}{3}

\frac{7}{6 x} + \frac{2 - x}{3 x y}

\frac{3}{4} x + 2 = \frac{1}{8}

\frac{5 ^{2}}{- 2}

2 x + 3 x + 26 = 9

What is factor 15r^2+2rs-s^2 ?
The solution to factor 15r^2+2rs-s^2 is (5r-s)(3r+s)