Question

Factor 140c +28-14a to identify the equivalent expressions.

Answer 1

14(10c+2-a)

Explanation:

Factor out 14 from the expression.

14*10c+14*2-14*a=14(10c+2-a)

Answer 2

Full Question

Factor 140c + 28 - 14a to identify the equivalent expressions.

Choose 2:

a. 7(20c + 4 - 2a)

b. 2(70c + 28 - 14a)

c. 14(10c + 2 - a)

d. 2(70a + 14 - 7c)

Answer:

a and d

14(10c + 2 - a) and 7(20c + 4 -2a)

Explanation:

Given

140c + 28 - 14a

Required

Factorize

To factorize the given expression, we look for a common number that can divide all three individual unit of the expression.

This common number is called common factor

The common factor between them is 14

We then divide each individual unit of the expression with 14.

So, we write 140c + 28 - 14a as

`14((140c)/(14) + (28)/(14) -(14a)/(14))`

= 14(10c + 2 - a)

Hence, 14(10c + 2 - a) is equivalent to 140c + 28 - 14a

But the question asks for two results,

So we factorize again

Another common factor between them is 7

We then divide each individual unit of the expression with 7

So, we write 140c + 28 - 14a as

`7((140c)/(7) + (28)/(7) -(14a)/(7))`

`= 7(20c + 4 -2a)`

Hence, 7(20c + 4 -2a) is also equivalent to 140c + 28 - 14a