Find the reduced form of the expression 20u3v2-15u2v-10u4v-30u3v3-

The correct option is B 4uv 3/2u^2+6uv^2 We need to find reduced form of the equation 20u^3v^2 15u^2v10u^4v+30u^3v^3 In numerator and denominator # ...

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Standard IX

Mathematics

Algebraic Identities

Find the redu...

Question

Find the reduced form of the expression
$\frac{20 u^{3} v^{2} - 15 u^{2} v}{10 u^{4} v + 30 u^{3} v^{3}}$ .

\frac{5 u v}{40 u^{7} v^{4}}

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\frac{2 v - 1}{u + 2 u v^{2}}

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\frac{4 u v - 3}{2 u^{2} + 6 u v^{2}}

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\frac{2 u v - 3 u v^{2}}{u^{2} + 6}

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Solution

The correct option is B $\frac{4 u v - 3}{2 u^{2} + 6 u v^{2}}$
We need to find reduced form of the equation
$\frac{20 u^{3} v^{2} - 15 u^{2} v}{10 u^{4} v + 30 u^{3} v^{3}}$
In numerator and denominator we take $5 u^{2} v$ is common
$\Rightarrow \frac{5 u^{2} v (4 u v - 3)}{5 u^{2} v (2 u^{2} + 6 u v)}$
$\Rightarrow \frac{4 u v - 3}{2 u^{2} + 6 u v^{2}}$

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Find the reduced form of the expression20u3v2−15u2v10u4v+30u3v3.

The correct option is B 4uv−32u2+6uv2We need to find reduced form of the equation20u3v2−15u2v10u4v+30u3v3In numerator and denominator we take 5u2v is common⇒5u2v(4uv−3)5u2v(2u2+6uv)⇒4uv−32u2+6uv2

Find the reduced form of the expression
$\frac{20 u^{3} v^{2} - 15 u^{2} v}{10 u^{4} v + 30 u^{3} v^{3}}$ .