What is (15a^2bn-45a^2bm)/(10a^2b^2n-30a^2b^2m) ?

The solution to (15a^2bn-45a^2bm)/(10a^2b^2n-30a^2b^2m) is 3/(2b)

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simplify (15a^2bn-45a^2bm)/(10a^2b^2n-30a^2b^2m)

simplify

\frac{15 a ^{2} bn - 45 a ^{2} bm}{10 a ^{2} b ^{2} n - 30 a ^{2} b ^{2} m}

\frac{3}{2 b}

Solution steps

\frac{15 a ^{2} bn - 45 a ^{2} bm}{10 a ^{2} b ^{2} n - 30 a ^{2} b ^{2} m}

Factor out common term

15 a^{2} b : 15 a^{2} b (n - 3 m)

= \frac{15 a ^{2} b ( n - 3 m )}{10 a ^{2} b ^{2} n - 30 a ^{2} b ^{2} m}

Factor out common term

10 a^{2} b^{2} : 10 a^{2} b^{2} (n - 3 m)

= \frac{15 a ^{2} b ( n - 3 m )}{10 a ^{2} b ^{2} ( n - 3 m )}

Cancel the common factor:

a^{2}

= \frac{15 b ( n - 3 m )}{10 b ^{2} ( n - 3 m )}

Cancel the common factor:

n - 3 m

= \frac{15 b}{10 b ^{2}}

Factor the number:

15 = 5 \cdot 3

= \frac{5 \cdot 3 b}{10 b ^{2}}

Factor the number:

10 = 5 \cdot 2

= \frac{5 \cdot 3 b}{5 \cdot 2 b ^{2}}

Cancel the common factor:

5

= \frac{3 b}{2 b ^{2}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

b^{2} = bb

= \frac{3 b}{2 bb}

Cancel the common factor:

b

= \frac{3}{2 b}

1 0^{3}

\frac{3 x + 24}{x ^{2} - 64}

(x + 8) (x + 1)

\frac{5}{2} - \frac{4}{3}

\frac{40}{2}

What is (15a^2bn-45a^2bm)/(10a^2b^2n-30a^2b^2m) ?
The solution to (15a^2bn-45a^2bm)/(10a^2b^2n-30a^2b^2m) is 3/(2b)