Question

15*[4+(-2)] =[(15*4)]+[15*(-2)]​

Answer 1

Given Equation :

• $\sf { 15 \Big [ 4 + \Big ( -2 \Big )\Big ] = \Big [ \Big ( 15 \times 4 \Big ) \Big] + \Big [15 \times \Big ( -2 \Big ) \Big ] }$

To find :

• Verify the equation i.e, either it satisfies the distributive property or not.

Clarification :

Here, we are given a equation. We are asked to verify the equation i.e, either it satisfies the distributive property or not. Firstly let's understand what exactly the distributive property is.

Multiplication is distributive over addition and subtraction. That means, if a, b and c are rational numbers then :

• a( b + c ) = ab + bc
• a( b - c ) = ab - bc

Explication of steps :

LHS :

$\longrightarrow \sf { 15 \Big [ 4 + \Big ( -2 \Big ) \Big ]}$

$\longrightarrow \sf { 15 \Big [ 4 - 2 \Big ]}$

$\longrightarrow \sf { 15 \Big [ 2\Big ]}$

$\longrightarrow \boxed{\sf { 30}}$

RHS :

$\longrightarrow \sf { \Big [ \Big ( 15 \times 4 \Big ) \Big] + \Big [ 15 \times \Big ( -2 \Big ) \Big ] }$

$\longrightarrow \sf { \Big [ 60 \Big] + \Big [ -30\Big ] }$

$\longrightarrow \sf { 60 - 30 }$

$\longrightarrow \boxed{\sf { 30}}$

Comparing LHS and RHS, we get :

• L.H.S = R.H.S

Henceforth, verified!

Answer 2

$\huge\boxed{\underline{\bf { \red S \green O \pink L \blue U \orange T \purple I \red O \pink N \green{..}}}}$

$\longmapsto \sf15 \times \bigg [4+\bigg(-2\bigg)\bigg] =\bigg[\bigg(15 \times 4\bigg)\bigg]+\bigg[15 \times\bigg (-2\big)\bigg]$

$\longmapsto \sf15 \times\bigg [4-2\bigg] =60+\bigg [ - 30\bigg]$

$\longmapsto \sf15 \times2=60 - 30$

$\longmapsto \sf30 = 30$

LHS = RHS

Hence Verified