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Sagot :
To evaluate the expression [tex]\(4x^2 - 3x\)[/tex] when [tex]\(x = 3\)[/tex], follow these steps:
1. Substitute [tex]\(x = 3\)[/tex] into the expression:
[tex]\[ 4(3)^2 - 3(3) \][/tex]
2. Calculate [tex]\(3^2\)[/tex]:
[tex]\[ 3^2 = 9 \][/tex]
3. Multiply 4 by [tex]\(3^2\)[/tex]:
[tex]\[ 4 \cdot 9 = 36 \][/tex]
4. Multiply 3 by 3:
[tex]\[ 3 \cdot 3 = 9 \][/tex]
5. Subtract the product of [tex]\(3 \cdot 3\)[/tex] from the product of [tex]\(4 \cdot 9\)[/tex]:
[tex]\[ 36 - 9 = 27 \][/tex]
So, the result of evaluating [tex]\(4x^2 - 3x\)[/tex] when [tex]\(x = 3\)[/tex] is [tex]\(27\)[/tex].
Thus, the correct answer is:
[tex]\[ \boxed{27} \][/tex]
1. Substitute [tex]\(x = 3\)[/tex] into the expression:
[tex]\[ 4(3)^2 - 3(3) \][/tex]
2. Calculate [tex]\(3^2\)[/tex]:
[tex]\[ 3^2 = 9 \][/tex]
3. Multiply 4 by [tex]\(3^2\)[/tex]:
[tex]\[ 4 \cdot 9 = 36 \][/tex]
4. Multiply 3 by 3:
[tex]\[ 3 \cdot 3 = 9 \][/tex]
5. Subtract the product of [tex]\(3 \cdot 3\)[/tex] from the product of [tex]\(4 \cdot 9\)[/tex]:
[tex]\[ 36 - 9 = 27 \][/tex]
So, the result of evaluating [tex]\(4x^2 - 3x\)[/tex] when [tex]\(x = 3\)[/tex] is [tex]\(27\)[/tex].
Thus, the correct answer is:
[tex]\[ \boxed{27} \][/tex]
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