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Show if the following expressions are equivalent:

-14(a + 2)

-1.4(5a - 10) (14a - 28)

1 Answer

7 votes

To determine if the expressions are equivalent, we can simplify both expressions and compare the results.

Let's simplify each expression step by step:

Expression 1: -14(a + 2)

Apply the distributive property:

-14 * a + (-14) * 2

-14a - 28

Expression 2: -1.4(5a - 10) (14a - 28)

Apply the distributive property to each term inside the parentheses:

-1.4 * 5a + (-1.4) * (-10) * 14a + (-1.4) * (-10) * (-28)

-7a + 14a - 392a + 392

(-7 + 14 - 392) a + 392

-385a + 392

After simplification, we have:

Expression 1: -14a - 28

Expression 2: -385a + 392

These two expressions are not equivalent because they have different coefficients for the 'a' term.

User ICrazy
by
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