Expand the expression (2x - 1)⁴ .what is the sum of the coefficients?

Use Pascal’s triangle and the binomial theorem to expand (x + 1)⁴ . Justify your work.

We can use both the binomial theorem and the Pascal’s triangle to get the expansion of any expression.

Emma factored  Describe and correct the error Emma made in factoring the polynomial.

It is important to recall the law of exponents while to expand polynomial expressions.

Expand  using binomial theorem.

The answer can be found using the Pascal’s triangle. For  , we would consider the (n+1)th row as the coefficients.

Expand  using Pascal’s triangle.

The answer can be found using the binomial theorem 

Use binomial theorem to expand expression (x + y)⁷ .

The answer can be found using the Pascal’s triangle. For an expression (x + y)n , we would have n + 1 term.

Use binomial theorem to expand expression (d - 1)⁴

The answer can be found using the Pascal’s triangle. For an expression  , we would have n+ 1 term.

Use Pascal triangle to expand the expression (a - b)⁶ .

The answer can be found using the binomial expansion of 

Use Pascal’s triangle to expand the expression (x + 1)⁵

The answer can be found using the binomial expansion of 

How many terms will there be in the expansion of the expression . Explain how you know?

Find the third term of the binomial expansion 

The expansion of (x + y)n has n+1 terms while expanding. The answer can be found using the Pascal’s triangle or binomial expansion.

Factor  in the form  . Then find the value of a,b and c.

Find the fifth term of the binomial expansion 

The expansion of  has n+1 terms while expanding. The answer can be found using the Pascal’s triangle or binomial expansion.

The sum of the coefficients in the expansion of the expression  is 64. Use Pascal’s triangle to find the value of n.

Using Pascal's Triangle, where n can be any positive integer as x and y are real numbers, one can determine the binomial coefficients of the terms of the binomial formula (x + y)ⁿ. Pascal Triangle is a type of number pattern that appears as a triangular arrangement and is represented by triangles. It starts with '1' at the top and continues with '1' on the triangle's two sides. Each new number in the Pascal triangle has equal values to the sum of the two integers above and below. The probability conditions in which this triangle is utilized vary. Every row represents this table's coefficient of expansion of (x + y)ⁿ. Zero row n = 0, (x + y)⁰

A student says that the expansion of the expression has seven terms. Describe and correct
the error the student may have made ?

Expand the expression  .what is the sum of the coefficients?