Question

help! I am confused :( I don't know how to solve this: Expand (x + 3)^6 using Pascal’s Triangle.

Answer 1

The Pascal's triangle will help fill out the coefficients of each term in the binomial expansion.
The binomial expansion of (x+3)^6 will look like this:
Ax^6 + Bx^5 * 3^1 + Cx^4 * 3^2 + Dx^3 * 3^3 + Ex^2 * 3^4 + Fx * 3^5 + G3^6
Notice how the exponent of x decreases from 6 to 0 while the exponent of 3 increases from 0 to 6.
Look up Pascal's triangle that has 7 constants in the row and they correspond to the constants A through G. Substitute and simplify.

Answer 2

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