Data Sufficiency

Is (a/p ) (p ^2 +r^ 2 +s^ 2 ) = ap+br+cs ?
1.c/s =a/p
2.a/p =b/r

Since p ≠ 0 (otherwise we couldn't divide by p), we can multiply the entire equation by p, giving

Is a(p² + r² + s²) = ap² + brp + csp ?

or

Is ap² + ar² + as² = ap² + brp + csp ?

or

Is ar² + as² = brp + csp ?


S1 tells us that cp = as, which means that the RED terms are equal.

S2 tells us that ar = bp, which means that the BLUE terms are equal.

And from there we're good to go!