To evaluate the expression 4x2−3x−54x^2 - 3x - 54x2−3x−5 at x=−3x = -3x=−3, substitute −3-3−3 for xxx in the expression and compute the result.
To evaluate the expression 4x2−3x−54x^2 - 3x - 54x2−3x−5 at x=−3x = -3x=−3, substitute −3-3−3 for xxx: 4(−3)2−3(−3)−5 4(-3)^2 - 3(-3) - 5 4(−3)2−3(−3)−5
First, calculate (−3)2(-3)^2(−3)2: (−3)2=9 (-3)^2 = 9 (−3)2=9 Then, calculate 4×94 \times 94×9: 4×9=36 4 \times 9 = 36 4×9=36 Next, calculate −3×(−3)-3 \times (-3)−3×(−3): −3×(−3)=9 -3 \times (-3) = 9 −3×(−3)=9
Substitute the calculated values back into the expression: 36+9−5 36 + 9 - 5 36+9−5
Add and subtract the terms: 36+9=45 36 + 9 = 45 36+9=45 45−5=40 45 - 5 = 40 45−5=40
The value of the expression at x=−3x = -3x=−3 is 40\boxed{40}40.
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