Step-by-step explanation:

1. (2x + 3y)(2x-3y)

2x(2x-3y) +3y(2x-3y)

4x²-6xy+6xy-9y²

= 4x²-9y²

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

x(3x+5) -2(3x+5)

3x²+5x-6x+10

= 3x²-x+10

3. (2x+5)(2x+5)

2x(2x+5)+5(2x+5)

4x²+10x+10x+25

= 4x²+20x+25

4. (m-3)(m+3m+9)

(m-3)(4m+9)

m(4m+9) -3(4m+9)

4m²+9m-12m-27

= 4m²-3m-27

5. (2-y5)3

(-y5+2)3

3(-y5+2)

= 3y5+6

Answer:

1. 4x²-2xy-12y²

2. 3x²-x-10

3. 4x²+20x+25

4. 4m²-3m-27

5. 6-3y⁵ or 3y⁵-6

Step-by-step explanation:

1. (2x+3y)(2x-4y)

FOIL Method

4x²-8xy+6xy-12y²

4x²-2xy-12y²

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

FOIL Method

3x²+5x-6x-10

3x²-x-10

3. (2x+5)(2x+5)

FOIL Method

4x²+10x+10x+25

4x²+20x+25

4. (m-3)(m+3m+9)

m²+3m²+9m-3m-9m-27

4m²-3m-27

5. (2-y⁵)3

6-3y⁵ or 3y⁵-6