What is 7/(x+5)-(4-6x)/(x^2+10x+25) ?

The solution to 7/(x+5)-(4-6x)/(x^2+10x+25) is (13x+31)/((x+5)^2)

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simplify 7/(x+5)-(4-6x)/(x^2+10x+25)

simplify

\frac{7}{x + 5} - \frac{4 - 6 x}{x ^{2} + 10 x + 25}

\frac{13 x + 31}{( x + 5 ) ^{2}}

Solution steps

\frac{7}{x + 5} - \frac{4 - 6 x}{x ^{2} + 10 x + 25}

Least Common Multiplier of

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

Adjust Fractions based on the LCM

= \frac{7 ( x + 5 )}{( x + 5 ) ^{2}} - \frac{4 - 6 x}{( x + 5 ) ^{2}}

Apply the fraction rule:

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

= \frac{7 ( x + 5 ) - ( 4 - 6 x )}{( x + 5 ) ^{2}}

Simplify

7 (x + 5) - (4 - 6 x) : 13 x + 31

= \frac{13 x + 31}{( x + 5 ) ^{2}}

x^{5} - 81 x

(w + 2)^{2}

x (x - 1) (x - 4)

\frac{5 x + 45}{x ^{2} + 5 x - 36}

\frac{a b ^{2} - 5 ab}{b c - 5 c}

What is 7/(x+5)-(4-6x)/(x^2+10x+25) ?
The solution to 7/(x+5)-(4-6x)/(x^2+10x+25) is (13x+31)/((x+5)^2)