What is (4+x)/((42-2x)^2(30-x))-0.015 ?

The solution to (4+x)/((42-2x)^2(30-x))-0.015 is (0.06x^3-4.32x^2+103.06x-789.8)/((42-2x)^2(30-x))

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simplify (4+x)/((42-2x)^2(30-x))-0.015

simplify

\frac{4 + x}{( 42 - 2 x ) ^{2} ( 30 - x )} - 0.015

\frac{0.06 x ^{3} - 4.32 x ^{2} + 103.06 x - 789.8}{( 42 - 2 x ) ^{2} ( 30 - x )}

Solution steps

\frac{4 + x}{( 42 - 2 x ) ^{2} ( 30 - x )} - 0.015

Apply the fraction rule:

a + \frac{b}{c} = \frac{a c + b}{c}

= \frac{- 0.015 ( 42 - 2 x ) ^{2} ( 30 - x ) + 4 + x}{( 42 - 2 x ) ^{2} ( 30 - x )}

Simplify

- 0.015 (42 - 2 x)^{2} (30 - x) + 4 + x : 0.06 x^{3} - 4.32 x^{2} + 103.06 x - 789.8

= \frac{0.06 x ^{3} - 4.32 x ^{2} + 103.06 x - 789.8}{( 42 - 2 x ) ^{2} ( 30 - x )}

\frac{100 ( 2 q + 6 )}{( q + 6 ) ( q + 1 )}

(d^{2} e^{3} f^{4} - 3) (d^{2} e^{3} f^{4} + 5)

e^{t - 2} h (t - 2)

(x - 2) (x - 2)

- \frac{s}{2 ( s ^{2} + 8 s + 16 )}

What is (4+x)/((42-2x)^2(30-x))-0.015 ?
The solution to (4+x)/((42-2x)^2(30-x))-0.015 is (0.06x^3-4.32x^2+103.06x-789.8)/((42-2x)^2(30-x))