Algebraic Identity

(x - 8) ( x - 8) = ______

• x² - 64
• x² + 64
• x² - 16x + 64
• x² + 16x + 64

If a + b = 5 and ab = 6, find a² + b².

• 13
• 12
• 10
• 11

The square of x² - 2y² is ______

• x⁴ - 4x²y² + 4y⁴
• x⁴ + 4x²y² + 4y⁴
• x⁴ - 4x²y² - 4y⁴
• None of the above

Which of the following expression is equivalent to the expression (y − x + 3) (y + x − 3)?

• y² − (x − 3)²
• (y − x)² − 9
• x² − (y + 3)
• (x + y)² − 9

Expand (4x − 5)(4x + 5).

• 4x² − 25

• 4x² + 25

• 16x² + 25

• 16x² − 25

Which of the following expressions is equivalent to the expression 945 × 855?

• 900² − 45²
• 900² + 45²
• 900² + (45 + 55) 900 + (45 × 55)
• 800² + (45 + 55) 800 + 45 × 55

Simplify (a - b + c)(a + b + c)

• a² + 2ab + b² - c²
• a² + 2ac + c² - b²
• a² + 2bc - c² - b²
• a² + 2ac + c² - b²

Expand (x−4)².

• x² −8x+16

• x² −8x−16

• x² +8x+16

• x² −16

Solve (x - 1)(1 - x) using suitable identity

• - x² + x - 1
• - x² - 2x - 1
• - x² + 2x - 1
• - x² - x - 1