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

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

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

simplify

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

14 b

Solution steps

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

Apply the fraction rule:

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

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

Cancel the common factor:

a^{2}

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

Factor the number:

21 = 3 \cdot 7

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

Cancel the common factor:

3

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

Factor the number:

4 = 2 \cdot 2

= \frac{7 \cdot 2 \cdot 2 b ^{2}}{2 b}

Cancel the common factor:

2

= \frac{7 \cdot 2 b ^{2}}{b}

Simplify

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

= 7 \cdot 2 b

Multiply the numbers:

7 \cdot 2 = 14

= 14 b

lo g_{7} (7)

3 x^{2} + 17 x + 10

- x^{2} + 6 x - 5 = 0

5 x^{2} + 15 x + 1 = 0

60 x = 65 (4 - x)

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