What is sqrt(x+3)f((x^2)/3-11) ?

The solution to sqrt(x+3)f((x^2)/3-11) is (sqrt(x+3)f(-33+x^2))/3

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simplify sqrt(x+3)f((x^2)/3-11)

simplify

x + 3 f (\frac{x ^{2}}{3} - 11)

\frac{x + 3 f ( - 33 + x ^{2} )}{3}

Solution steps

x + 3 f (\frac{x ^{2}}{3} - 11)

Join

\frac{x ^{2}}{3} - 11 : \frac{- 33 + x ^{2}}{3}

= x + 3 f \frac{- 33 + x ^{2}}{3}

Apply the fraction rule:

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

= \frac{x + 3 f ( - 33 + x ^{2} )}{3}

\frac{10 s + 32}{s ( s + 4 )}

- \frac{4}{( 2 s - 1 ) ( s + 2 )}

(a + b) (c + d^{^{'}})

\frac{( a + 1 ) ( a - 1 )}{3 ( a + 5 )}

What is sqrt(x+3)f((x^2)/3-11) ?
The solution to sqrt(x+3)f((x^2)/3-11) is (sqrt(x+3)f(-33+x^2))/3