What is (4(x+2))/w*(3w^2)/(8(x+2)) ?

The solution to (4(x+2))/w*(3w^2)/(8(x+2)) is (3w)/2

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simplify (4(x+2))/w*(3w^2)/(8(x+2))

simplify

\frac{4 ( x + 2 )}{w} \cdot \frac{3 w ^{2}}{8 ( x + 2 )}

\frac{3 w}{2}

Solution steps

\frac{4 ( x + 2 )}{w} \cdot \frac{3 w ^{2}}{8 ( x + 2 )}

Apply the fraction rule:

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

= \frac{4 ( x + 2 ) \cdot 3 w ^{2}}{w \cdot 8 ( x + 2 )}

Cancel the common factor:

x + 2

= \frac{4 \cdot 3 w ^{2}}{w \cdot 8}

Factor the number:

8 = 4 \cdot 2

= \frac{4 \cdot 3 w ^{2}}{w \cdot 4 \cdot 2}

Cancel the common factor:

4

= \frac{3 w ^{2}}{w \cdot 2}

Apply exponent rule:

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

w^{2} = ww

= \frac{3 ww}{w \cdot 2}

Cancel the common factor:

w

= \frac{3 w}{2}

8 + 2

10 \leq - \frac{2}{3} (9 + 12 b)

5 x^{2} + 75 x + 250

(4 r^{0})^{4}

\frac{6}{5} \cdot (- \frac{1}{6})

What is (4(x+2))/w*(3w^2)/(8(x+2)) ?
The solution to (4(x+2))/w*(3w^2)/(8(x+2)) is (3w)/2