Name the property illustrated:

A x (B + C) = (A x B) + (A x C)

Distributive property

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Closure property

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Associative property

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Commutative property

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Solution

The correct option is A Distributive property
A x (B + C) = (A x B) + (A x C)
The given equation illustrates distributive property.

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Similar questions

{(\frac{x^{a}}{x^{b}})}^{a^{2} + a b + b^{2}} \times {(\frac{x^{b}}{x^{c}})}^{b^{2} + b c + c^{2}} \times {(\frac{x^{c}}{x^{a}})}^{c^{2} + c a + a^{2}} = 1

{(\frac{x^{a}}{x^{b}})}^{c} \times {(\frac{x^{b}}{x^{c}})}^{a} \times {(\frac{x^{c}}{x^{a}})}^{b} = 1

∣ ∣ ∣ ∣ \begin{matrix} x + a & b & x c & x + b & a a & b & x + c \end{matrix} ∣ ∣ ∣ ∣ = 0

x \neq 0

Using the property of determinants and without expanding.
$∣ ∣ ∣ ∣ \begin{matrix} x & a & x + a y & b & y + b z & c & z + c \end{matrix} ∣ ∣ ∣ ∣ = 0$

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