### Home > INT3 > Chapter 10 > Lesson 10.3.2 > Problem 10-162

10-162.

Use Pascal’s Triangle to expand (*x* + *y*)^{7}. Homework Help ✎

Recall Pascal's Triangle at right.

What row is needed to expand (*x* + *y*)^{7}?

Use the pattern for (*a* + *b*)^{7}.

*a*^{7} + 7*a*^{6}*b* + 21*a*^{5}*b*^{2} + 35*a*^{4}*b*^{3} + 35*a*^{3}*b*^{4} + 21*a*^{2}*b*^{5} + 7*ab*^{6} + *b*^{7}

Now substitute *x* for *a* and *y* for *b*.