Simplify the rational expression 16 x2x3 64 Perform the mu

Simplify the rational expression. 16 - x^2/x^3 - 64 Perform the multiplication or division and simplify. 4x/x^2 - 25. x + 5/16x

Solution

5)

(16-x²)/(x³-64)

=(4²-x²)/(x³-4³)

=[(4-x)(4+x)]/[(x-4)(x²+4x+4²)]

=[-(x-4)(x+4)]/[(x-4)(x²+4x+4²)]

=-(x+4)/(x²+4x+4²)

=-(x+4)/(x²+4x+16)

6)

(4x/(x²-25)) .((x+5)/(16x))

=[4x(x+5)]/[16x(x²-25)]

=[4x(x+5)]/[16x(x²-5²)]

=[4x(x+5)]/[16x(x+5)(x-5)]

=1/(4(x-5))

=1/(4x -20)