Multiply $u v$ with $5 u + 2 v$ .

5 u v^{2} + 2 u^{2} v

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5 u^{2} v + 2 u v^{2}

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Solution

The correct option is B $5 u^{2} v + 2 u v^{2}$

Applying distributive law in multiplication,
$u v \times (5 u + 2 v) = u v \times 5 u + u v \times 2 v$
Applying commutaive law and adding the exponent of repective unknown variables we get,
$\Rightarrow u v \times (5 u + 2 v) = 5 \times u^{(1 + 1)} \times v + 2 \times u \times v^{(1 + 1)}$
$\Rightarrow u v \times (5 u + 2 v) = 5 \times u^{2} \times v + 2 \times u \times v^{2}$
$\Rightarrow u v \times (5 u + 2 v) = 5 u^{2} v + 2 u v^{2}$

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Multiply uv with 5u+2v.

The correct option is B 5u2v+2uv2 Applying distributive law in multiplication, uv×(5u+2v)=uv×5u+uv×2v Applying commutaive law and adding the exponent of repective unknown variables we get, ⇒uv×(5u+2v)=5×u(1+1)×v+2×u×v(1+1) ⇒uv×(5u+2v)=5×u2×v+2×u×v2 ⇒uv×(5u+2v)=5u2v+2uv2

Multiply $u v$ with $5 u + 2 v$ .