Question

How do you expand 3/7(-21x-49)

Answer 1

`(3)/(7)(-21x-49)= -9x- 21`

Step-by-step explanation

To expand

`(3)/(7)(-21x-49)`, we use the distributive property of multiplication over subtraction.

According to the distributive property of multiplication over subtraction, if we have any three real numbers,

`a,b,\:and\:c`.

Then;

`a(b-c)=a* b-a* c`

Applying this property to the given expression, we obtain;

`(3)/(7)(-21x-49)= (3)/(7)* (-21x)- (3)/(7)* (49)`

If we cancel out common factors we obtain;

`(3)/(7)(-21x-49)= 3* (-3x)- 3* (7)`

If we simplify further, we obtain;

`(3)/(7)(-21x-49)= -9x- 21`