Question

Identify which row of Pascal’s triangle will be used for expanding the given binomial expression (2x3 + 3y2)7.

Answer 1

Answer:

8th row

Since Power is 7

Answer 2

Answer:

Pascal's triangle will use 8th row.

Step-by-step explanation:

• In the given equation, the highest degree of the equation is 7.

• So, while expansion of that binomial expression, the expression will completely expand in 8th row.

Pascal's Triangle :

• A Pascal's triangle is the triangular array of numbers.
• The ends of this triangular array is always 1.
• Other numbers in triangular array is the sum of the adjacent two numbers.
• In mathematics, Pascal's triangle is a triangular array of the binomial coefficients that occurs in probability theory, combinatorics, and algebra.
• Pascal's triangle is named after French mathematician Blaise Pascal.

Formula :

For the entry in nth row and kth column, is denoted by $( {{n} \atop {k}} \right. )$.

Also,

$( {{n} \atop {k}} \right. ) = \frac{n!}{r!(n - r)!}$

#SPJ2