tell whether these pair of expressions are equivalent
(-6)(2x(-4) and 48x
The pair of expressions (-6)(2x(-4)) and 48x are not equivalent.
To determine if two expressions are equivalent, we can simplify each expression and compare the results.
For the first expression (-6)(2x(-4)), we need to apply the order of operations (PEMDAS/BODMAS) to simplify it. Here are the steps:
1) Simplify the parentheses inside the expression: (-6)(2x(-4)) -> (-6)(2x4)
2) Multiply: (-6)(2x4) -> -6 * 8 = -48
So, (-6)(2x(-4)) simplifies to -48.
For the second expression 48x, there is no simplification needed since it is already in its simplest form.
Comparing the results, -48 is not the same as 48x. Therefore, the pair of expressions (-6)(2x(-4)) and 48x are not equivalent.