What is factor rs^2+ps^2-4r-4p ?

The solution to factor rs^2+ps^2-4r-4p is (-2+s)(2+s)(r+p)

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factor rs^2+ps^2-4r-4p

factor

r s^{2} + p s^{2} - 4 r - 4 p

(- 2 + s) (2 + s) (r + p)

Solution steps

r s^{2} + p s^{2} - 4 r - 4 p

Factor out common term

r

= r (s^{2} - 4) + p s^{2} - 4 p

Factor

s^{2} - 4 : (s + 2) (s - 2)

= s^{2} p - 4 p + r (s + 2) (s - 2)

Factor out common term

p

= r (2 + s) (- 2 + s) + p (s^{2} - 4)

Factor

s^{2} - 4 : (s + 2) (s - 2)

= r (s + 2) (s - 2) + p (s + 2) (s - 2)

Factor out common term

(- 2 + s) (2 + s)

= (- 2 + s) (2 + s) (r + p)

e x + 2 x

(x + 2) - x^{2} + x + 2

\frac{4 - x ^{2}}{x ^{3} - x}

3 x - 12

What is factor rs^2+ps^2-4r-4p ?
The solution to factor rs^2+ps^2-4r-4p is (-2+s)(2+s)(r+p)