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If the value of [tex]$b$[/tex] is 7, then what is the value of the expression [tex]-3b^2 + 25[/tex]?

A. 172
B. 17
C. 122
D. -122

Answer :

To solve the expression [tex]\(-3b^2 + 25\)[/tex] when the value of [tex]\(b\)[/tex] is 7, follow these steps:

1. Substitute the value of [tex]\(b\)[/tex] in the expression:
[tex]\(-3 \times (7)^2 + 25\)[/tex].

2. Calculate [tex]\(b^2\)[/tex], which is [tex]\(7^2\)[/tex]:
[tex]\[
7^2 = 49
\][/tex]

3. Multiply the square of [tex]\(b\)[/tex] by [tex]\(-3\)[/tex]:
[tex]\[
-3 \times 49 = -147
\][/tex]

4. Add 25 to the result of the multiplication:
[tex]\[
-147 + 25 = -122
\][/tex]

So, the value of the expression when [tex]\(b = 7\)[/tex] is [tex]\(-122\)[/tex].

Therefore, the correct answer is D. -122.

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