Question

simplify the (s^2t+tq^2)^2 - (2stq)^2​

Answer 1

Answer:

The given expression is

(s2t + tq2)2 – (2stq)2

= (s2t)2 + 2(s2t)(tq2) + 2(s2t)(tq2)-4s2t2q2

= s4t2 + 2s2t2q2 + 2s2t2q2-4s2t2q2

= s4t2

Therefore ,(s2t + tq2)2 – (2stq)2 = s4t2

Answer 2

$= {s}^{4} {t}^{2} + 2. {s}^{2}t.t {q}^{2} + {t}^{2} {q}^{4} - 4 {s}^{2} {t}^{2} {q}^{2} \\ = {s}^{4} {t}^{2} - 2 {s}^{2} {t}^{2} {q}^{2} + {t}^{2} {q}^{4}$