To evaluate the expression [tex]\( x^2 + y^2 \)[/tex] given [tex]\( x = 6 \)[/tex] and [tex]\( y = 8 \)[/tex], follow these steps:
1. Calculate [tex]\( x^2 \)[/tex]:
- Substitute [tex]\( x \)[/tex] with 6.
- [tex]\( x^2 = 6^2 = 36 \)[/tex].
2. Calculate [tex]\( y^2 \)[/tex]:
- Substitute [tex]\( y \)[/tex] with 8.
- [tex]\( y^2 = 8^2 = 64 \)[/tex].
3. Sum [tex]\( x^2 \)[/tex] and [tex]\( y^2 \)[/tex]:
- Add the results from the previous steps.
- [tex]\( 36 + 64 = 100 \)[/tex].
Thus, the evaluated expression [tex]\( x^2 + y^2 \)[/tex] when [tex]\( x = 6 \)[/tex] and [tex]\( y = 8 \)[/tex] is [tex]\( 100 \)[/tex].
