Answer:

1. (3x-5)(x-2)

Simplify using FOIL:

• First: 3x × x
• Outer: -3x × 2
• Inner: -5x
• Last: -5x(-2)

Calculate the product:

• 3x × x = 3x²
• -3x × 2 = -6x
• -5x = -5x
• -5x(-2) = 10

Collect like terms:

3x² -6x -5x +10

3x²-11x+10

The final Answer is 3x² -11x +10

2. (x² -2x +5)(2x -3)

Simplify using distributive property:

• x² × (2x-3)
• -2x × (2x-3)
• 5(2x-3)

x² × (2x -3) -2x × (2x -3) +5(2x -3)

• x² × (2x -3) = 2x³ -3x²
• -2x × (2x - 3) = -4x² +6x
• 5(2x-3) = 10x -15

2x³ -3x² -4x² +6x +10x -15

Collect like terms:

2x³ -3x² -4x² +6x +10x -15

• 2x³ -7² +6x +10x -15

2x³ -7² +6x +10x -15

• 2x³ -7x² +16x -15

The Final Answer is

2x³-7x²+16x-15

3. ang 3 po ay nasa taas/picture

4. (x⁵ -32)(x +2)

Simplify using FOIL:

• First: x⁵ × x
• Outer: 2x⁵
• Inner: -32x
• Last: -32 × 2

x⁵ × x +2x⁵ -32x -32 × 2

Calculate the product:

• x⁵ × x = x⁶
• 2x⁵ = 2x⁵
• -32x = -32x
• -32 × 2 = -64

x⁶ +2x⁵ -32x -64

The final Answer is

x⁶ +2x⁵ -32x -64