What is 1/(x+3)+(9x-7x^2)/1 ?

The solution to 1/(x+3)+(9x-7x^2)/1 is (1-7x^3-12x^2+27x)/(x+3)

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simplify 1/(x+3)+(9x-7x^2)/1

simplify

\frac{1}{x + 3} + \frac{9 x - 7 x ^{2}}{1}

\frac{1 - 7 x ^{3} - 12 x ^{2} + 27 x}{x + 3}

Solution steps

\frac{1}{x + 3} + \frac{9 x - 7 x ^{2}}{1}

Least Common Multiplier of

x + 3, 1 : x + 3

Adjust Fractions based on the LCM

= \frac{1}{x + 3} + \frac{( 9 x - 7 x ^{2} ) ( x + 3 )}{x + 3}

Apply the fraction rule:

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

= \frac{1 + ( 9 x - 7 x ^{2} ) ( x + 3 )}{x + 3}

Simplify

1 + (9 x - 7 x^{2}) (x + 3) : 1 - 7 x^{3} - 12 x^{2} + 27 x

= \frac{1 - 7 x ^{3} - 12 x ^{2} + 27 x}{x + 3}

8 x^{3} + 4 x^{2} + 12 x

227 - 248 + 243

\frac{9}{16} \div \frac{3}{4}

\frac{x ^{5} + 6 x ^{3} - 7}{x - 1}

\frac{5}{9} \times \frac{3}{4}

What is 1/(x+3)+(9x-7x^2)/1 ?
The solution to 1/(x+3)+(9x-7x^2)/1 is (1-7x^3-12x^2+27x)/(x+3)