What is (x^2+3x-28)/(x^2+14x+49) ?

The solution to (x^2+3x-28)/(x^2+14x+49) is (x-4)/(x+7)

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simplify (x^2+3x-28)/(x^2+14x+49)

simplify

\frac{x ^{2} + 3 x - 28}{x ^{2} + 14 x + 49}

\frac{x - 4}{x + 7}

Solution steps

\frac{x ^{2} + 3 x - 28}{x ^{2} + 14 x + 49}

Factor

x^{2} + 3 x - 28 : (x - 4) (x + 7)

= \frac{( x - 4 ) ( x + 7 )}{x ^{2} + 14 x + 49}

Factor

x^{2} + 14 x + 49 : (x + 7)^{2}

= \frac{( x - 4 ) ( x + 7 )}{( x + 7 ) ^{2}}

Apply exponent rule:

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

(x + 7)^{2} = (x + 7) (x + 7)

= \frac{( x - 4 ) ( x + 7 )}{( x + 7 ) ( x + 7 )}

Cancel the common factor:

x + 7

= \frac{x - 4}{x + 7}

4 \cdot 4^{- 1}

(x - 3) (3 x + 6)

lo g_{10} (2^{3})

\frac{3 x ^{2} - 8 x - 3}{2 x ^{2} - 6 x}

- \frac{- 4}{2}

What is (x^2+3x-28)/(x^2+14x+49) ?
The solution to (x^2+3x-28)/(x^2+14x+49) is (x-4)/(x+7)