Question

B. express each product in simplest form..​

Answer 1

Step-by-step explanation:

$\mathtt{1) \frac{2x}{3} \cdot \frac{9}{ {4x}^{2} } }$

$\mathtt{ \implies \frac{ \cancel{2x}}{ \cancel{3}} \cdot \frac{ \cancel3 \times 3}{ \cancel{2x} \times 2x} }$

$\boxed {\pink{ \mathtt{ \implies\frac{3}{2x} }}}$

$\mathtt{2) \frac{ {5x}^{3} }{y} \cdot \frac{ {y}^{2} }{25x} }$

$\mathtt{ \implies \frac{ \cancel5 \times {x}^{2} \times \cancel x } {\cancel{y}} \cdot \frac{ \cancel y \times y}{ \cancel5 \times 5 \times \cancel x} }$

$\boxed{\mathtt \red{ \implies \frac{{x}^{2} \times y}{5}}}$

$\mathtt{ \implies \frac{ {x}^{2} }{5} }$

$\mathtt{ \implies (3)\frac{2a-5}{a-5}\times \left(\frac{2a+5}{\left(2a-5\right)\left(2a+5\right)}\right) }$

$\frac{2a-5}{a-5}\times \left(\frac{1}{2a-5}\right)$

$\frac{2a-5}{\left(a-5\right)\left(2a-5\right)}$

$\frac{1}{a-5}$

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