What is the value of the expression $∣ ∣ a^{2} - 2 a c + 5 c ∣ ∣$ $|a^2-2ac+5c|$ when $a = - 3, b = 2$ $a=-3, b=2$ , and $c = - 4$ $c=-4$ ?

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Answer 1 · 2017-07-19T07:18:53

35

We plug in the values.

$∣ ∣ a^{2} - 2 a c + 5 c ∣ ∣ = ∣ ∣ {(- 3)}^{2} - 2 (- 3) (- 4) + 5 (- 4) ∣ ∣ =$ $|a^2-2ac+5c|=|(-3)^2-2(-3)(-4)+5(-4)|=$

$| 9 - 24 - 20 | = | - 35 | = 35$ $|9-24-20|=|-35|=35$

What is the value of the expression |a^2-2ac+5c|∣∣a2−2ac+5c∣∣|a^2-2ac+5c| when a=-3, b=2a=−3,b=2a=-3, b=2, and c=-4c=−4c=-4?