20) $(c^{2} + c)(b - a^{2}) - c$; use $a = 2$, $b = -2$, and $c = -3$ | Sovi AI

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$20) $(c^{2} + c)(b - a^{2}) - c$; use $a = 2$, $b = -2$, and $c = -3$$

Question

$(c^{2} + c)(b - a^{2}) - c$; use $a = 2$, $b = -2$, and $c = -3$

Explanation:

Step1: Substitute given values

Substitute $a=2$, $b=-2$, $c=-3$ into the expression:
$$((-3)^2 + (-3))((-2) - (2)^2) - (-3)$$

Step2: Calculate exponents

Compute squared terms first:
$$(9 - 3)((-2) - 4) + 3$$

Step3: Simplify parentheses

Simplify expressions inside each pair of parentheses:
$$(6)(-6) + 3$$

Step4: Perform multiplication

Calculate the product of the two terms:
$$-36 + 3$$

Step5: Perform final addition

Combine the remaining terms:
$$-33$$

Answer:

$-33$