Which property of real numbers is shown below? -6(4x + 5) = -24x - 30

Solution:

The distributive property states that any expression with three numbers A, B, and C, given in form A (B + C) then it is resolved as A × (B + C) = AB + AC or A (B – C) = AB - AC.

This means operand A is distributed among the other two operands.

This property is also known as the distributivity of multiplication over addition or subtraction.

It is given that

-6(4x + 5) = -24x - 30

-24x - 30 = -24x - 30

By further calculation

-24x + 24x = - 30 + 30

0 = 0

Therefore, the distributive property of real numbers is used.

Which property of real numbers is shown below? -6(4x + 5) = -24x - 30

Summary:

The distributive property of real numbers is shown in -6(4x + 5) = -24x - 30.