Quiz on Algebraic Identities

(a-b)^3

• a^3 -b^3-3ab(a-b)

• a^3 + b^3-3ab(a-b)

• a^3 - b^3+3ab(a-b)

• a^3 - b^3-3ab(a+b)

(a+b)^3

• a^3 - b^3+3ab(a-b)

• a^3 + b^3+3ab(a-b)

• a^3 - b^3-3ab(a-b)

• a^3 + b^3+3ab(a+b)

The degree of a constant polynomial is 

• 1
• 2
• 3
• 0

product of 51 X 49 find using the identity -------------- and product is --------

• ( a-b) (a + b) = a² -b² , 2499

• (x + a) ( x + b ) = x² + (a + b) x ab , 2499

• (a+b)² = a² + 2ab + b² , 2499

• (a - b)² = a² - 2ab + b² , 2499

 $\left(\frac{2m}{3}\ +\ \frac{3n}{2}\right)^2$   is

•  $\frac{4m}{2}+2mn\ +\ \frac{9n}{4}$  

•  $\frac{4m^2}{2}\ +\ 2mn\ +\ \frac{9n^2}{4}$  

•  $\frac{4m^2}{9}+\ 2mn\ +\ \frac{9n^2}{4}$  

•  $\frac{4m^2}{9}-\ 2mn\ \ +\ \frac{9n^2}{4}$  

If a+b=7, ab = 10, find a² + b²

• 28

• 29

• 30

• 27

Find (2l – 3m + 4n)²

• 4l² - 9m² + 16n² – 12lm + 24mn + 16nl

• 4l² + 9m² + 16n² + 12lm – 24mn + 16nl

• 4l² + 9m² + 16n² – 12lm + 24mn + 16nl

• 4l² + 9m² + 16n² – 12lm – 24mn + 16nl

 $x^{3\ }-y^3\ =$  

•  $\left(x\ -y\right)\left(x^2\ -xy\ +y^2\right)$  

•  $\left(x\ -\ y\right)\left(x^2\ +\ xy\ +y^2\right)$  

• (x + y) ( x - y)

If x + y + z = 0 then  $x\ ^3+y^3+z^{3\ }=$  

 $If\ a+b+c=9\ and\ ab+bc+ca=23,\ then\ a^2+b^2+c^2\ =?$  

• 35

• 58

• 127

• 153