What is ((12a^3b^2+10a^2b^3))/(2ab) ?

The solution to ((12a^3b^2+10a^2b^3))/(2ab) is ab(6a+5b)

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simplify ((12a^3b^2+10a^2b^3))/(2ab)

simplify

\frac{( 12 a ^{3} b ^{2} + 10 a ^{2} b ^{3} )}{2 ab}

ab (6 a + 5 b)

Solution steps

\frac{12 a ^{3} b ^{2} + 10 a ^{2} b ^{3}}{2 ab}

Factor

12 a^{3} b^{2} + 10 a^{2} b^{3} : 2 a^{2} b^{2} (6 a + 5 b)

= \frac{2 a ^{2} b ^{2} ( 6 a + 5 b )}{2 ab}

Cancel the common factor:

2

= \frac{a ^{2} b ^{2} ( 6 a + 5 b )}{ab}

Apply exponent rule:

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

a^{2} = aa

= \frac{aa b ^{2} ( 6 a + 5 b )}{ab}

Cancel the common factor:

a

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

Apply exponent rule:

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

b^{2} = bb

= \frac{abb ( 6 a + 5 b )}{b}

Cancel the common factor:

b

= ab (6 a + 5 b)

\frac{45}{6}

\frac{5 x - 25}{x ^{2} - 7 x + 10}

\frac{\frac{1}{s}}{1 + \frac{1}{s}}

(3 - 2 i) - (- 4 + i)

lo g_{11} (144)

What is ((12a^3b^2+10a^2b^3))/(2ab) ?
The solution to ((12a^3b^2+10a^2b^3))/(2ab) is ab(6a+5b)