Question

Which expressionsare equivalent to the given expression? Select two options.

(-2.4a - 1.8b) - (-3.8a - 4.4b) + (2.0a +3.0b)
ANSWERS :
A) 3.4b - 3.2a
B) 3.4a - 3.2b
C) 5.6b + 3.4a
D) 3.2b + 3.4a
E) 3.4a + 5.6b

Answer 1

Answer:The expression (-2.4a-1.8b)-(-3.8a1-4.4b)+(2.0a+3.0b) is equivalent to 3.4a - 2.2b.

Explanation:What is the equivalent expression of (-2.4a-1.8b)-(-3.8a1-4.4b)+(2.0a+3.0b)?

Distributing the negative sign inside the first set of parentheses, we get:

(-2.4a - 1.8b) - (-3.8a + 4.4b) + (2.0a + 3.0b)

Simplifying the double negative in the second term, we get:

(-2.4a - 1.8b) + (3.8a - 4.4b) + (2.0a + 3.0b)

Combining like terms, we get:

(-2.4a + 3.8a + 2.0a) + (-1.8b - 4.4b + 3.0b)

Simplifying the coefficients of the like terms, we get:

3.4a - 2.2b

Therefore, (-2.4a-1.8b)-(-3.8a1-4.4b)+(2.0a+3.0b) is equivalent to 3.4a - 2.2b.