What is (14a^3b^2)/(21a^4b) ?

The solution to (14a^3b^2)/(21a^4b) is (2b)/(3a)

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simplify (14a^3b^2)/(21a^4b)

simplify

\frac{14 a ^{3} b ^{2}}{21 a ^{4} b}

\frac{2 b}{3 a}

Solution steps

\frac{14 a ^{3} b ^{2}}{21 a ^{4} b}

Factor the number:

14 = 7 \cdot 2

= \frac{7 \cdot 2 a ^{3} b ^{2}}{21 a ^{4} b}

Factor the number:

21 = 7 \cdot 3

= \frac{7 \cdot 2 a ^{3} b ^{2}}{7 \cdot 3 a ^{4} b}

Cancel the common factor:

7

= \frac{2 a ^{3} b ^{2}}{3 a ^{4} b}

Simplify

\frac{b ^{2}}{b} : b

= \frac{2 a ^{3} b}{3 a ^{4}}

Simplify

\frac{a ^{3}}{a ^{4}} : \frac{1}{a}

= \frac{2 b}{3 a}

(3)^{2} + (- 4)^{2}

- 220 - 105

(- 3) (- 2)

\frac{80}{10}

(x + 9) (x - 3)