What is ((a-1)^2)/(30)*6/((a-1)) ?

The solution to ((a-1)^2)/(30)*6/((a-1)) is (a-1)/5

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simplify ((a-1)^2)/(30)*6/((a-1))

simplify

\frac{( a - 1 ) ^{2}}{30} \cdot \frac{6}{( a - 1 )}

\frac{a - 1}{5}

Solution steps

\frac{( a - 1 ) ^{2}}{30} \cdot \frac{6}{a - 1}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{( a - 1 ) ^{2} \cdot 6}{30 ( a - 1 )}

Factor the number:

30 = 6 \cdot 5

= \frac{( a - 1 ) ^{2} \cdot 6}{6 \cdot 5 ( a - 1 )}

Cancel the common factor:

6

= \frac{( a - 1 ) ^{2}}{5 ( a - 1 )}

Apply exponent rule:

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

(a - 1)^{2} = (a - 1) (a - 1)

= \frac{( a - 1 ) ( a - 1 )}{5 ( a - 1 )}

Cancel the common factor:

a - 1

= \frac{a - 1}{5}

- \frac{4}{9} + (- \frac{11}{7})

\frac{7}{4} - \frac{3}{4}

(4 x + 5 y)^{6}

2 - 1

- 5 \times (- 1)

What is ((a-1)^2)/(30)*6/((a-1)) ?
The solution to ((a-1)^2)/(30)*6/((a-1)) is (a-1)/5