Question

verify the property x×(y+z)=x×y+x×z by taking x=1/3,y=1/5,z=1/7​

Answer 1

Heyya!

Please mark as BRAINLIEST

Step-by-step explanation:

$x \times (y + z) = x \times y + x \times z$

Here,

$x = \frac{1}{3}$

$y = \frac{1}{5}$

$z = \frac{1}{7}$

Now,

$\frac{1}{3} \times ( \frac{1}{5} + \frac{1}{7} ) = \frac{1}{3} \times \frac{1}{5} + \frac{1}{3} \times \frac{1}{7}$

$using \: distributive \: property$

$\frac{1}{3} \times { \frac{1}{5} + \frac{1}{3} \times \frac{1}{7} } = \frac{1}{15} + \frac{1}{21}$

$\frac{36}{105} = \frac{15 + 21}{105}$

$\frac{36}{105} = \frac{36}{105}$

Hence Proved