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

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

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

simplify

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

\frac{a + b}{3 a}

Solution steps

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

Apply Difference of Two Squares Formula:

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

a^{2} - b^{2} = (a + b) (a - b)

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

Factor

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

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

Cancel the common factor:

a - b

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

\frac{11 + 2}{11 - 2}

(x - 1) (x - 2) (x - 3) (x - 4) (x - 5) + 1

\frac{tan ( θ )}{sin ( θ )}

sec (x) - sin (x) tan (x)

- 2 (3 a^{2} + a - 2 b) + 9 (a + 4 b) + 6 a^{2}

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