Factoring Algebraic Expressions

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

• 2lm + lp
• 2lm + lp − 2mp 
• 2lm + lp + mp 
• 2lm + lp − mp 

What is the product of (x² − y²) and (3x + 2y)?

• 3x³ − 2y³ + 3x²y + 3xy²
• 3x³ + 2y³ - 2x²y − 3xy²
• 3x³ − 2y³ + 2x²y − 3xy²
• 3x³ − 3y³ + 2x²y − 3xy²

(x² - y²) × (x² + y²) = ______

• 2x² + 2y²
• x⁴ - y⁴
• x⁴ + y⁴
• 2x⁴

(m+1)(m+3) is of the form

• none of these

(5-p)(5-p) is of the form

• none of these

• none of these

Multiply : 7a x (2a² - 3a + 5)

• 14a³ -21a² + 35a

• 14a³ -21a² - 35a

• -14a³ + 21a² + 35a

• -14a³ -21a² + 35a

Find (102)² - (98)²

• 200

• 400

• 600

• 800