What is (x^2+10x+25)/(8x+40) ?

The solution to (x^2+10x+25)/(8x+40) is (x+5)/8

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simplify (x^2+10x+25)/(8x+40)

simplify

\frac{x ^{2} + 10 x + 25}{8 x + 40}

\frac{x + 5}{8}

Solution steps

\frac{x ^{2} + 10 x + 25}{8 x + 40}

Factor

x^{2} + 10 x + 25 : (x + 5)^{2}

= \frac{( x + 5 ) ^{2}}{8 x + 40}

Factor

8 x + 40 : 8 (x + 5)

= \frac{( x + 5 ) ^{2}}{8 ( x + 5 )}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 5)^{2} = (x + 5) (x + 5)

= \frac{( x + 5 ) ( x + 5 )}{8 ( x + 5 )}

Cancel the common factor:

x + 5

= \frac{x + 5}{8}

(8 + 7 i) + (- 3 + 3 i)

\frac{4}{5} \div 3

24 \times 4

ln (e^{- y})

- 2 a^{3} b (a^{3} - 2 a^{2} b^{2} - 6 a b^{3})