Question

Verify the property a x (b +c)=(a x b)+(a x c) by taking a = -2, b = (9), c = −2

Answer 1

Step-by-step explanation:

This question van be solved showing distributive property of multiplication over addition

a*(b+c)=(a*b)+(a*c)

-2(9+(-2))=(-2*9)+(-2*-2)

-2*7=-18+4

-14=-14

Answer 2

Given:

a = -2, b = 9, c = −2

To Find:

Verify the property a x (b +c)=(a x b)+(a x c)

Solution:

The given expression is a distributive property:

''The expression of a distributive property can be stated as the product of a number with a sum is equal to the sum of the products of the number with each term under the addition.''

According to question

a x (b +c)=(a x b)+(a x c)

L.H.S

= a x (b +c)

=(-2 ) x (9+( -2))

=-14

R.H.S

=(a x b)+(a x c)

=((-2) x 9)+((-2) x (-2))

=-18+4

=-14

L.H.S=R.H.S

Hence, the property a x (b +c)=(a x b)+(a x c) is verified.