Question

Evaluate the following expression using the values given:

Find −a2 − 3b3 + c2 + 2b3 − c2 if a = 3, b = 2, and c = −3.

−67

−17

−31

1

Answer 1

   
$a = 3 \\ b = 2 \\ c = -3 \\ \\ -a^2 - \underline{3b^3} + \underline{\underline{c2}} + \underline{2b^3} - \underline{\underline{c^2}} = \\ \\ = -a^2 - b^3 = -3^2 -2^3 = -9-8 = \boxed{-17}$

Answer 2

The solution of expression is -17, when using the values a = 3, b = 2, and c = −3.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given expression as :

⇒ −a² − 3b³ + c² + 2b³ − c²

if a = 3, b = 2, and c = −3.

⇒ −a² − 3b³ + c² + 2b³ − c²

Cancel out term c² in the expression,

⇒ −a² − 3b³ + 2b³

Subtraction operation applies in the expression,

⇒ −a² − b³

Substitute the values of a = 3 and b = 2 in the expression,

⇒ −(3)² − (2)³

⇒ −9 − 8

⇒ -17

Hence, the solution of expression is -17,  when using the values a = 3, b = 2, and c = −3.

Learn more about Expressions here :

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