Which of the following shows the distributive property of multiplication over addition?

(x + 0) \times (y + 0) = x \times y

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x \times y = y \times x

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x \times 1 = x

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

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Solution

The correct option is D $x (y + z) = (x \times y) + (x \times z)$
$x (y + z) = (x \times y) + (x \times z)$ shows the distributive property of multiplication over addition.

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Question 100 (v)

Express the following property with variables x, y and z.

Distributive property of multiplication over addition

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

x = - 3, y = \frac{9}{2}, z = \frac{- 7}{9}

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

x = \frac{7}{4}, y = \frac{- 11}{3}, z = \frac{1}{2}

x = s i n 130^{\circ} c o s 80^{\circ}, y = s i n 80^{\circ} c o s 130^{\circ}, z = 1 + x y,

∣ ∣ ∣ ∣ ∣ \begin{matrix} x & x^{2} & y z y & y^{2} & z x z & z^{2} & x y \end{matrix} ∣ ∣ ∣ ∣ ∣ = (x - y) (y - z) (z - x) (x y + y z + z x)

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