Question

Apply the distributive property and the greatest common factor to write an equivalent expression.

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60x−24=
(
)

Answer 1

Answer: 12(5x-2)

Explanation:

Here the given expression is,

60 x - 24

According to the distributive property,

If a× b + a× c = a×(b+c)

Thus, for obtaining the equivalent expression of the given expression we need to take a common number or expression from both 60x and 24.

Since, the Greatest common factor of 60x and 24 = 12

Thus, we can write, 60 x - 24 = 12× 5x - 12× 2 = 12(5x - 2)

Answer 2

Explanation:

60x -24

Here factor of 60x are 2x2x3x5 (x)

and factor of 24 are 2x2x2x3

common factor of both are = 2x2x3

12 [ 5x -2 ] its also s=using distributive law also

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

that means if a is common factor of both terms then we can pull a out of the parenthesis and we get a as common factor

we can see that 12 is common factor in both terms so pulling 12 from both terms and we get 5x and 2 inside minus sign between them.