Question

Please expand and simplify these questions:
1. (2x²+3)(4x+5)-8x(x²-2)
2. (x-2)(x-1)
3. x(3x-1)
4. 2x(2x+3)
5. 5x(x-3y)

Answer 1

Answer:

1. 10x²+28x+15
2. x²+3x+2
3. 3x²-x
4. 4x²+6x
5. 5x²-15xy

Step-by-step explanation:

1. (2x²+3)(4x+5)-8x(x²-2)

 = (2x².4x)+(2x².5)+(3.4x)+(3.5)+(-8x.x²)+(-8x.-2)

 =  (8^3)+(10x²)+(12x)+(15)+(-8^3)+(16x)

 = 8^3-8^3+10x²+12x+16x+15

 =  0+10x²+28x+15

 =  10x²+28x+15

2. (x-2)(x-1)

 = (x.x)+(x.-1)+(-2.x)+(-2.-1)

 = (x²)+(-x)+(-2x)+(2)

 = x²-x-2x+2

 = x²-3x+2

3.  x(3x-1)

 = (x.3x)+(x.-1)

 = (3x²)+(-x)

 = 3x²-x

4.  2x(2x+3)

 = (2x.2x)+(2x.3)

 = (4x²)+(6x)

 = 4x²+6x

5.  5x(x-3y)

 = (5x.x)+(5x.-3y)

 = (5x²)+(-15xy)

 = 5x²-15xy