SOLUTION: How would I write these two expressions in simplest form? 4x-28/5x-35 4r^2-25s^2/2r^2+3rs-20s^2

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Question 84591: How would I write these two expressions in simplest form?
4x-28/5x-35

4r^2-25s^2/2r^2+3rs-20s^2
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
How would I write these two expressions in simplest form?
4x-28/5x-35
=[4(X-7)]/[5(X-7)]=4/5
4r^2-25s^2/2r^2+3rs-20s^2
=[(2R)^2-(5S)^2]/[2R^2+8RS-5RS-20S^2]
=[(2R+5S)(2R-5S)]/[2R(R+4S)-5S(R+4S)]
=[(2R+5S)(2R-5S)]/[(2R-5S)(R+4S)]
=(2R+5S)/(R+4S)