Algebraic Identities

The product of (a+b) and (a-b) is

• a²+b²

• a²-b²

• ab+bc

• none of these

The product of 93x99 is

• 9207

• 9000

• 8250

• 8976

The product of (a+11)(a+9) is

• a²+20a+99

• a²-20a+99

• a²+20a-99

• none of these.

The value of (2x+3y+z)² is

• 4x²+5y²+2y²+12xy+5yz+2xz

• 4x²+9y²+z²+12xy+6yz+4zx

• x²+3y²+z²+6xy+5yz+6zx

• none of these.

(a+b)³ is equal to

• a³+ b³ +3ab(a+b)

• a³-b³+3ab(a-b)

• a³+b³+ab

• a³+b³-3ab(a+b)

The cube of 97 is

• 925721

• 912673

• 812662

• 9080501

The value of x²-11x+30 is

• (x+5)(x+6)

• (x+5)(x-6)

• (x-5)(x-6)

• (x-5)(x+6)

The value of 8x³+36x²y+54xy²+27y³ is

• (2x+3y)³

• (2x-3y)³

• (x-3y)³

• (x+3y)³