What is (9-x^2)/(9x+27) ?

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

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simplify (9-x^2)/(9x+27)

simplify

\frac{9 - x ^{2}}{9 x + 27}

\frac{3 - x}{9}

Solution steps

\frac{9 - x ^{2}}{9 x + 27}

Factor

9 - x^{2} : (3 + x) (3 - x)

= \frac{( 3 + x ) ( 3 - x )}{9 x + 27}

Factor

9 x + 27 : 9 (x + 3)

= \frac{( 3 + x ) ( 3 - x )}{9 ( x + 3 )}

Apply the commutative law:

3 + x = x + 3

= \frac{( x + 3 ) ( 3 - x )}{9 ( x + 3 )}

Cancel the common factor:

x + 3

= \frac{3 - x}{9}

(x + i)^{2}

- \frac{59}{10} - (- 6)

\frac{40}{360}

- 7 x + 2 x

420 \div 7 \times 2 \div 0.5