Question

What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?

Answer 1

To simplify the given expression, combine like terms by distributing the negative signs and combining the variables.

Step-by-step explanation:

To simplify the expression (14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b), we need to combine like terms. First, distribute the negative sign through the second set of parentheses: (14.2a + 9.8b) - 13.1b + 0.2a - (3.7a + 4.8b). Next, distribute the negative sign through the third set of parentheses: 14.2a + 9.8b - 13.1b + 0.2a - 3.7a - 4.8b. Combine like terms to get: (14.2a + 0.2a - 3.7a) + (9.8b - 13.1b - 4.8b).

Simplifying further, we get: 10.7a - 8.1b.

Answer 2

(14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)

14.2a+9.8b−13.1×b+0.2a−3.7a−4.8b

(14.2a+0.2a−3.7a)+(9.8b−13.1×b−4.8b)

10.7a−8.1×b = simplest form