Expressions equivalent to 30x - 240 include 30(x - 8), 15(2x - 16), 10(3x - 24), 6(5x - 40), and 30x - 120 + 30 - 120, showcasing different ways to represent the original expression.
The expression 30x - 240 can be represented in various equivalent forms by factoring or combining like terms. Here are several expressions that are equal to 30x - 240:
30(x - 8): Factoring out the common factor 30 from both terms results in this equivalent expression. This form highlights that the expression is divisible by 30.
15(2x - 16): Another way to express 30x - 240 is by factoring out 15, resulting in the equivalent expression 15(2x - 16). This emphasizes the factor of 15 in the original expression.
10(3x - 24): Factoring out 10 from both terms gives 10(3x - 24), showcasing that 30x - 240 is also divisible by 10.
6(5x - 40): By factoring out 6, the expression 6(5x - 40) is equivalent to 30x - 240, emphasizing the factor of 6.
30x - 120 + 30 - 120: Breaking down 240 into 120 + 120 allows for the expression 30x - 120 + 30 - 120, which simplifies to 30x - 240.
In summary, there are various expressions equivalent to 30x - 240, obtained through factoring or breaking down the terms.