Question

Which expression is equivalent to the given polynomial expression?

(-4a²– 3b) + (-2ab – a² +62) + (-6a + 6ab)
A. -5a²+ 4ab - 36
B. 5a² + 8ab + 36
C.-3a² + 8ab + 36
D. -3a² + 4ab + 3
E.None of these

Answer 1

The equivalent expression is -5a² + 4ab - 6a + 3b. Option A (-5a² + 4ab - 36) is correct.

Step-by-step explanation:

To find the equivalent expression, we combine like terms by adding or subtracting the coefficients of the same variables.

Combining the like terms, we get:

-4a² - 3b - 2ab - a² + 6b - 6a + 6ab

Grouping the like terms again, we have:

(-4a² - a²) + (-2ab + 6ab) + (-6a) + (6b - 3b)

Simplifying further, we get:

-5a² + 4ab - 6a + 3b

Therefore, the expression equivalent to the given polynomial expression is -5a² + 4ab - 6a + 3b. Option A (-5a² + 4ab - 36) is the correct answer.