What is (36a^4b^5-48a^5b^7+30a^6b^6)/(6a^3b^5) ?

The solution to (36a^4b^5-48a^5b^7+30a^6b^6)/(6a^3b^5) is a(6-8ab^2+5a^2b)

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simplify (36a^4b^5-48a^5b^7+30a^6b^6)/(6a^3b^5)

simplify

\frac{36 a ^{4} b ^{5} - 48 a ^{5} b ^{7} + 30 a ^{6} b ^{6}}{6 a ^{3} b ^{5}}

a (6 - 8 a b^{2} + 5 a^{2} b)

Solution steps

\frac{36 a ^{4} b ^{5} - 48 a ^{5} b ^{7} + 30 a ^{6} b ^{6}}{6 a ^{3} b ^{5}}

Factor

36 a^{4} b^{5} - 48 a^{5} b^{7} + 30 a^{6} b^{6} : 6 a^{4} b^{5} (6 - 8 a b^{2} + 5 a^{2} b)

= \frac{6 a ^{4} b ^{5} ( 6 - 8 a b ^{2} + 5 a ^{2} b )}{6 a ^{3} b ^{5}}

Cancel the common factor:

6

= \frac{a ^{4} b ^{5} ( 6 - 8 a b ^{2} + 5 a ^{2} b )}{a ^{3} b ^{5}}

Cancel the common factor:

b^{5}

= \frac{a ^{4} ( 6 - 8 a b ^{2} + 5 a ^{2} b )}{a ^{3}}

Apply exponent rule:

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

a^{4} = a^{3} a

= \frac{a ^{3} a ( 6 - 8 a b ^{2} + 5 a ^{2} b )}{a ^{3}}

Cancel the common factor:

a^{3}

= a (6 - 8 a b^{2} + 5 a^{2} b)

\frac{2 7 + 3}{7 - 2}

21 y \cdot 5 49 y

A (A + B)

\frac{6 ab}{( a ^{0} b ^{2} ) ^{4}}

(12 - 9 n^{2} + 5 n^{3}) - (- 11 n^{3} - 4 n^{2} + 6 n)

What is (36a^4b^5-48a^5b^7+30a^6b^6)/(6a^3b^5) ?
The solution to (36a^4b^5-48a^5b^7+30a^6b^6)/(6a^3b^5) is a(6-8ab^2+5a^2b)