What is 1-(14(0.02x+1))/(x^3+25x^2+84.28x+14) ?

The solution to 1-(14(0.02x+1))/(x^3+25x^2+84.28x+14) is (x^3+25x^2+84x)/(x^3+25x^2+84.28x+14)

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simplify 1-(14(0.02x+1))/(x^3+25x^2+84.28x+14)

simplify

1 - \frac{14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

\frac{x ^{3} + 25 x ^{2} + 84 x}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Solution steps

1 - \frac{14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Apply the fraction rule:

1 - \frac{b}{c} = \frac{c - b}{c}

= \frac{( x ^{3} + 25 x ^{2} + 84.28 x + 14 ) - 14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Apply rule:

(a) = a

(x^{3} + 25 x^{2} + 84.28 x + 14) = x^{3} + 25 x^{2} + 84.28 x + 14

= \frac{x ^{3} + 25 x ^{2} + 84.28 x + 14 - 14 ( 0.02 x + 1 )}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

Simplify

x^{3} + 25 x^{2} + 84.28 x + 14 - 14 (0.02 x + 1) : x^{3} + 25 x^{2} + 84 x

= \frac{x ^{3} + 25 x ^{2} + 84 x}{x ^{3} + 25 x ^{2} + 84.28 x + 14}

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What is 1-(14(0.02x+1))/(x^3+25x^2+84.28x+14) ?
The solution to 1-(14(0.02x+1))/(x^3+25x^2+84.28x+14) is (x^3+25x^2+84x)/(x^3+25x^2+84.28x+14)