Question

What is the simplest form of the expression (14. 2a 9. 8b) – (13. 1b – 0. 2a) – (3. 7a 4. 8b)? 10. 7a – 8. 1b 10. 7a Plus 27. 7b 18. 1a Minus 8. 1b 18. 1a Plus 27. 7b.

Answer 1

The simplest form of the equation is $\rm10.7a-8.1b$.

We have to determine

What is the simplest form of the expression?

According to the question

Expression; $\rm (14.2a + 9.8b) - (13.1b -0.2a) - (3.7a + 4.8b)$

To determine the simplest form of the equation following all the steps given below.

To subtract the expressions we multiply the negative sign inside the second parenthesis, change the sign of each term in the second and third parenthesis.

$\rm = (14.2a + 9.8b) - (13.1b -0.2a) - (3.7a + 4.8b)\\\\= 14.2a+9.8b -13.1b+0.2a-3.7a-4.8b\\\\= 14.2a+0.2a-3.7a+9.8b -13.1b-4.8b\\\\= 10.7a-8.1b$

Hence, the simplest form of the equation is $\rm10.7a-8.1b$.

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