Question

expanding a binomial expression with pascal’s triangle
in this task, you’ll use pascal’s triangle to expand the binomial expression ((2x^3 + 3y^2)^7).

part a

to expand the binomial expression ((2x^3 + 3y^2)^7) using the binomial theorem, what should be substituted for the values of (a) and (b)?

• (a = x^{10}) and (b = y^8)
• (a = 2x^3) and (b = 3y^2)
• (a = 2x^{10}) and (b = 3y^8)
• (a = x^3) and (b = y^2)

Explanation:

The binomial theorem uses the form $(a + b)^n$, where $a$ and $b$ are the two distinct terms inside the binomial. For $(2x^3 + 3y^2)^7$, the first term is $2x^3$ and the second term is $3y^2$.

Answer:

a = $2x^3$ and b = $3y^2$