Question

verify the property x×(y×3)=(x×y)×z by taking x=0 y=-3/5 z=-9/4​

Answer 1

✓ Correct question :

Verify the property

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

Where the values of x , y and z are given

x = 0 y = -3/5 z = - 9/4

✓ Solution :

Let's verify the property now !

$\longrightarrow lhs :$

$\longrightarrow \: x \times ( y \times z)$

$= 0( \frac{ - 3}{5} \: \times - \frac{9}{4} )$

= 0 -------- ( 1 )

$\longrightarrow \: rhs :$

$\longrightarrow \: (x \times y) \times z$

$=(0 \times \frac{ - 3}{5} ) \times \frac{ - 9}{4}$

= 0 -------- ( 2 )

From equation 1 and 2 we verified LHS and RHS

Hence LHS = RHS

$\therefore \: x \times (y \times z) = (x \times y) \times z$

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More info :

This is called as Associative property over multiplication . In whatsoever way we group or combine the terms The results of LHS will always be equal to RHS.