The Distributive property of addition over multiplication is shown in the expression -6(4x + 5) = -24x - 30.
Given,
-6(4x + 5) = -24x - 30
We need to find out which property is applied in the given expression.
What are the properties of algebra?
Some of the properties are:
- Commutative property of
Addition - a + b = b + a
Multiplication - a x b = b x a
- Associative property of
Addition - (a + b) + c = a + (b + c)
Multiplication - (a x b) x c = a x (b x c)
-Distributive property of addition over multiplication
a x (b + c) = a x b + a x c
a + b x c = (a x c) + (b x c)
- Inverse property
a + -a = 0
Inverse property of a is -a.
We have,
-6 ( 4x + 5 )
= (- 6) x 4x + ( - 6 ) x 5
= -24x - 30
If a = -6, b = 4x and c = 5
We have,
= a x ( b + c )
= a x b + a x c
We see that Distributive property of addition over multiplication is applied here.
Thus the Distributive property of addition over multiplication is shown in the expression -6(4x + 5) = -24x - 30.
Learn more about distributive property here:
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