What is (a^2+3a-ab-3b)/(a^2-ab+5a-5b) ?

The solution to (a^2+3a-ab-3b)/(a^2-ab+5a-5b) is (a+3)/(a+5)

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simplify (a^2+3a-ab-3b)/(a^2-ab+5a-5b)

simplify

\frac{a ^{2} + 3 a - ab - 3 b}{a ^{2} - ab + 5 a - 5 b}

\frac{a + 3}{a + 5}

Solution steps

\frac{a ^{2} + 3 a - ab - 3 b}{a ^{2} - ab + 5 a - 5 b}

Factor

a^{2} + 3 a - ab - 3 b : (a + 3) (a - b)

= \frac{( a + 3 ) ( a - b )}{a ^{2} - ab + 5 a - 5 b}

Factor

a^{2} - ab + 5 a - 5 b : (a - b) (a + 5)

= \frac{( a + 3 ) ( a - b )}{( a - b ) ( a + 5 )}

Cancel the common factor:

a - b

= \frac{a + 3}{a + 5}

42 \cdot 53

lo g_{a} (5) + lo g_{a} (x) - lo g_{a} (2)

x^{2} + b x + \frac{b ^{2}}{4}

2 x^{2} (- 3 x^{2})^{3}

(x + 2)^{2} - (y - 1)^{2}

What is (a^2+3a-ab-3b)/(a^2-ab+5a-5b) ?
The solution to (a^2+3a-ab-3b)/(a^2-ab+5a-5b) is (a+3)/(a+5)