Answer :

We are given the expression

[tex]$$-3b^2 + 25$$[/tex]

and the value

[tex]$$b = 7.$$[/tex]

Step 1: Calculate [tex]\(b^2\)[/tex].

Substitute [tex]\(b = 7\)[/tex] into the squaring:

[tex]$$b^2 = 7^2 = 49.$$[/tex]

Step 2: Multiply [tex]\(b^2\)[/tex] by [tex]\(-3\)[/tex].

Multiply the squared value by [tex]\(-3\)[/tex]:

[tex]$$-3 \times 49 = -147.$$[/tex]

Step 3: Add 25 to the product.

Now add 25 to the result of the multiplication:

[tex]$$-147 + 25 = -122.$$[/tex]

Thus, the value of the expression is

[tex]$$\boxed{-122}.$$[/tex]

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