HSA.APR.C.5: Know and apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.

Also written as A-APR.5 or A.APR.5

Know and apply the Binomial Theorem for the expansion of (x + y)^n in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal's Triangle.

Example Problems

Expand and combine like terms:

(9y^5 + 2)^2

Expand and combine like terms:

(2 - 7m^6)^2

Expand and combine like terms:

(5 + 6b^3)^2

Khan Academy Resources

Expand binomials Binomial expansion & combinatorics (old)Expanding binomials w/o Pascal's triangle Intro to the Binomial Theorem Pascal's triangle & combinatorics Binomial expansion & combinatorics Expanding binomials Pascal's triangle and binomial expansion

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