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(pq/2r)^3÷(2p/r^2)+1/2q
=(p^3q^3/8r^3)×(r^2/2p)+1/2q
=p^2q^3/16r+1/2q
=(p^2q^4+8r)/(16qr)
(x^2-16)/(x^2+8x+16) +x/(x-4)
=(x-4)(x+4)/(x+4)^2 +x/(x-4)
=(x-4)/(x+4) +x/(x-4)
=[(x-4)^2+x(x+4)]/(x-4)(x+4)
=[x^2-8x+16+x^2+4x]/(x-4)(x+4)
=[2x^2-4x+16]/(x-4)(x+4)
=2(x^2-2x+8)/(x-4)(x+4)
=2(x-4)(x+2)/(x-4)(x+4)
=2(x+2)/(x+4)
=(p^3q^3/8r^3)×(r^2/2p)+1/2q
=p^2q^3/16r+1/2q
=(p^2q^4+8r)/(16qr)
(x^2-16)/(x^2+8x+16) +x/(x-4)
=(x-4)(x+4)/(x+4)^2 +x/(x-4)
=(x-4)/(x+4) +x/(x-4)
=[(x-4)^2+x(x+4)]/(x-4)(x+4)
=[x^2-8x+16+x^2+4x]/(x-4)(x+4)
=[2x^2-4x+16]/(x-4)(x+4)
=2(x^2-2x+8)/(x-4)(x+4)
=2(x-4)(x+2)/(x-4)(x+4)
=2(x+2)/(x+4)
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