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.