What is (4a^2-36)/(24-8a) ?

The solution to (4a^2-36)/(24-8a) is -(a+3)/2

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simplify (4a^2-36)/(24-8a)

simplify

\frac{4 a ^{2} - 36}{24 - 8 a}

- \frac{a + 3}{2}

Solution steps

\frac{4 a ^{2} - 36}{24 - 8 a}

Factor

4 a^{2} - 36 : 4 (a + 3) (a - 3)

= \frac{4 ( a + 3 ) ( a - 3 )}{24 - 8 a}

Factor

24 - 8 a : 8 (3 - a)

= \frac{4 ( a + 3 ) ( a - 3 )}{8 ( 3 - a )}

Factor the number:

8 = 4 \cdot 2

= \frac{4 ( a + 3 ) ( a - 3 )}{4 \cdot 2 ( 3 - a )}

Cancel the common factor:

4

= \frac{( a + 3 ) ( a - 3 )}{2 ( 3 - a )}

2 (3 - a) = - 2 (a - 3)

= \frac{( a + 3 ) ( a - 3 )}{- 2 ( a - 3 )}

Cancel the common factor:

a - 3

= \frac{a + 3}{- 2}

Apply the fraction rule:

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

= - \frac{a + 3}{2}

W = 0 - 3 i

1 - 2 x \leq - 3 or 7 + 3 x \leq 4

1 + lo g_{2} (x) - \frac{1}{2} lo g_{2} (y)

- 2 x = 1