Question

-Verify the property: ax(b+ c) = axb + axc by taking a = -5/2,b= -2, c=11/3​

Answer 1

Answer:

LHS=RHS PROVED

Step-by-step explanation:

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Answer 2

Answer:

The property $a \times (b+c)=a \times b+a\times c$ is verified.

Step-by-step explanation:

Consider the property as follows:

$a$ × ($b$ + $c$) = $a$ × $b$ + $a$ × $c$ . . . . . (1)

Given: $a$ = -5/2, $b$ = -2 and $c$ = 11/3

Step 1 of 3

Consider the left-hand side as follows:

⇒ $a$ × ($b$ + $c$)

Substitute the values -5/2 for $a$, -2 for $b$ and 11/3 for $c$ in the property (1) as follows:

⇒ $-\frac{5}{2}$ × $(-2+\frac{11}{3} )$

Using BODMAS, simplify the value inside the bracket.

⇒ $-\frac{5}{2}$ × $(\frac{-6+11}{3} )$

⇒ $-\frac{5}{2}$ × $\frac{5}{3}$

Multiply both the numbers as follows:

⇒ $-\frac{25}{6}$

L.H.S = $-\frac{25}{6}$

Step 2 of 3

Consider the right-hand side as follows:

⇒ $a$ × $b$ + $a$ × $c$

Substitute the values -5/2 for $a$, -2 for $b$ and 11/3 for $c$ in the property (1) as follows:

⇒ $-\frac{5}{2}$ × $(-2)$ +  $-\frac{5}{2}$ × $\frac{11}{3}$

Using BODMAS, apply the multiplication first as follows:

⇒ $\frac{10}{2}$ + $(-\frac{55}{6})$

Add both the numbers.

⇒ $\frac{30-55}{6}$

⇒ $-\frac{25}{6}$

R.H.S = $-\frac{25}{6}$

Step 3 of 3

The value of the left-hand side is equal to the right-hand side, i.e.,

⇒ $-\frac{25}{6}=-\frac{25}{6}$

⇒ $a \times (b+c)=a \times b+a\times c$

Hence the property is verified.

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