Given the expression [tex]\(4 \sqrt{a^2 - b^2}\)[/tex] with [tex]\(a = -5\)[/tex] and [tex]\(b = 3\)[/tex],
1. First, calculate [tex]\(a^2\)[/tex]:
[tex]\[ (-5)^2 = 25 \][/tex]
2. Next, calculate [tex]\(b^2\)[/tex]:
[tex]\[ 3^2 = 9 \][/tex]
3. Subtract [tex]\(b^2\)[/tex] from [tex]\(a^2\)[/tex]:
[tex]\[ 25 - 9 = 16 \][/tex]
4. Take the square root of the result:
[tex]\[ \sqrt{16} = 4 \][/tex]
5. Finally, multiply by 4:
[tex]\[ 4 \times 4 = 16 \][/tex]
Thus, the value of the expression is:
[tex]\[ 16 \][/tex]
