Polynomial Identities, Pascal's Triangle, Regression Equation

The expression (l + m) (2m + p) − 2m (p + m) can be simplified as

• 2lm + lp

• 2lm + lp − 2mp 

• 2lm + lp + mp 

• 2lm + lp − mp 

Find the product of (2x - 3y)(2x + 5y) using suitable identity.

• x² + 4xy - 15xy

• 2x² + 4xy - 15xy

• x² - 15xy - 15xy

• 2x² - 6xy - 15xy

How many equations in the given are identities?

• 1

• 2

• 3

• 0

Is it a polynomial?

• yes

• no

• A
• B
• C
• D

Select the coefficients of the 5th Row in Pascal's Triangle

• 1;3;3;1

• 1;4;6;4;1

• 1;5;10;10;5;1

• 1;6;15;20;15;6;1

Choose the right Pascal's triangle

• 
• 
• 
• 

Find the element in Pascal's Triangle. 8th row and 6 element.

• 56

• 28

• 7

• 0

What is the Binomial expansion of (x + 1)⁵ ?

• x⁵ + 5x⁴ + 10x³ + 10x² + 5x + 1

• x⁵ + 5x⁴ + 15x³ + 15x² + 5x + 1

• x⁵ + 6x⁴ + 15x³ + 15x² + 6x + 1

• x⁵ + 1

If the top row of Pascal's Triangle is row 0, then what is the sum of the numbers in the eighth row?

• 255

• 256

• 257

• 260

• 264