What is (ax-3bx+ay-3by)/(a^2-9b^2) ?

The solution to (ax-3bx+ay-3by)/(a^2-9b^2) is (x+y)/(a+3b)

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simplify (ax-3bx+ay-3by)/(a^2-9b^2)

simplify

\frac{a x - 3 b x + a y - 3 b y}{a ^{2} - 9 b ^{2}}

\frac{x + y}{a + 3 b}

Solution steps

\frac{a x - 3 b x + a y - 3 b y}{a ^{2} - 9 b ^{2}}

Factor

a x - 3 b x + a y - 3 b y : (x + y) (a - 3 b)

= \frac{( x + y ) ( a - 3 b )}{a ^{2} - 9 b ^{2}}

Factor

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

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

Cancel the common factor:

a - 3 b

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

(3 x^{0})^{2} (2 x^{4})

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

27 \cdot \frac{2}{3}

(32) (2 - 10)

x (3 x)

What is (ax-3bx+ay-3by)/(a^2-9b^2) ?
The solution to (ax-3bx+ay-3by)/(a^2-9b^2) is (x+y)/(a+3b)