What is (x^2+10x+24)/(\frac{x+6){x+4}} ?

The solution to (x^2+10x+24)/(\frac{x+6){x+4}} is (x+4)^2

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simplify (x^2+10x+24)/(\frac{x+6){x+4}}

simplify

\frac{x ^{2} + 10 x + 24}{\frac{x + 6}{x + 4}}

(x + 4)^{2}

Solution steps

\frac{x ^{2} + 10 x + 24}{\frac{x + 6}{x + 4}}

Apply the fraction rule:

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

= \frac{( x ^{2} + 10 x + 24 ) ( x + 4 )}{x + 6}

Cancel

\frac{( x ^{2} + 10 x + 24 ) ( x + 4 )}{x + 6} : (x + 4)^{2}

= (x + 4)^{2}

8 x^{2} + 12 x

\frac{2 5 ^{- 1}}{5 ^{- 2}} \div \frac{0. 5 ^{- 2}}{0. 1 ^{- 3}}

x^{3} + 8 x^{2} + 17 x + 10

1 0^{4.5}

f^{- 1} (f (x))

What is (x^2+10x+24)/(\frac{x+6){x+4}} ?
The solution to (x^2+10x+24)/(\frac{x+6){x+4}} is (x+4)^2