Algebra test for Nine

The factors of p² - q² are :

• (p + q) (p + q)

• (p + q) (p - q)

• (p - q) (p - q)

Factorize: 6x² - 9x

• 6x ( x - 3)

• 2x ( 3x -7)

• 3x ( 2x - 3 )

The value of ( y + 5)² is :

• y² + 25

• y² +10y + 25

• y² -10y + 25

The factors of 25m² - 4n² are :

• (5m +2n) ( 5m - 2n )

• (5m +2n) ( 5m + 2n )

• (25m +4n) ( 25m - 4n )

If x =7 and y = 5 then the value of x² - 2xy +y² is

( a³ - b³ ) =

• (a -b) (a - b) (a - b)

• a³ - 3a²b + 3ab² - b³

• (a - b ) ( a² + ab + b²)

• (a - b ) ( a² - ab + b²)

Factorize by using term break: 3x² - 7x - 6

• (3x +2) ( x - 3)

• (3x - 2) ( x + 3)

• (3x - 2) ( x - 3)

• (3x +2) ( x + 3)

The HCF of : 4x² and 2x³ is

• 2x

• 2x²

• 4x³

• 8x³

The LCM of: (x + 1) ( x+ 2) and (x +2 ) (x + 3) is:

• (x + 1) ( x+ 2)

• ( x+ 2)

• (x + 1) ( x+ 2) (x + 3)

Simplify: $\frac{x^2}{x\ -y}+\frac{y^2}{y-x}$ 

• (x - y )

• (x +y )

• 1