What is (a^2+17)/(4a^2-11a-3)-2/(a-3) ?

The solution to (a^2+17)/(4a^2-11a-3)-2/(a-3) is (a-5)/(4a+1)

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simplify (a^2+17)/(4a^2-11a-3)-2/(a-3)

simplify

\frac{a ^{2} + 17}{4 a ^{2} - 11 a - 3} - \frac{2}{a - 3}

\frac{a - 5}{4 a + 1}

Solution steps

\frac{a ^{2} + 17}{4 a ^{2} - 11 a - 3} - \frac{2}{a - 3}

Least Common Multiplier of

4 a^{2} - 11 a - 3, a - 3 : (a - 3) (4 a + 1)

Adjust Fractions based on the LCM

= \frac{a ^{2} + 17}{( a - 3 ) ( 4 a + 1 )} - \frac{2 ( 4 a + 1 )}{( a - 3 ) ( 4 a + 1 )}

Apply the fraction rule:

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

= \frac{a ^{2} + 17 - 2 ( 4 a + 1 )}{( a - 3 ) ( 4 a + 1 )}

Simplify

a^{2} + 17 - 2 (4 a + 1) : a^{2} - 8 a + 15

= \frac{a ^{2} - 8 a + 15}{( a - 3 ) ( 4 a + 1 )}

Cancel

\frac{a ^{2} - 8 a + 15}{( a - 3 ) ( 4 a + 1 )} : \frac{a - 5}{4 a + 1}

= \frac{a - 5}{4 a + 1}

x^{2} = - 144

∣ v + 5 ∣ - 6 < - 5

x^{2} - 12 x + 72 = 0

- \frac{m}{5} = 10

8 (a + 3)^{3} - b^{3}

What is (a^2+17)/(4a^2-11a-3)-2/(a-3) ?
The solution to (a^2+17)/(4a^2-11a-3)-2/(a-3) is (a-5)/(4a+1)