### Home > CCA2 > Chapter 12 > Lesson 12.1.1 > Problem 12-22

12-22.

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(

*a*+*b*)^{3}(2

*m*+ 5)^{3}

Review the Math Notes on the Binomial Theorem in lesson 10.3.1. Remember, you can also use Pascal's Triangle to help you here.

(*a* + *b*)^{3} = _{3}*C*_{3}*a*^{3}*b*^{0} + _{3}*C*_{2}*a*^{2}*b*^{1} + _{3}*C*_{1}*a*^{1}*b*^{2} + _{3}*C*_{0}*a*^{0}*b*^{3}

*a*^{3} + 3*a*^{2}*b* + 3*ab*^{2} + *b*^{3}

Use the result of part (a). *a* = 2*m*; *b* = 5. Simplify.