Question

2x^2+ 5x - 3 
5x(y + 1) – 2(y + 1) 
x2 – 2xy + 5x – 10y

a) 3x−6y

b) 25x^2+5x3+x^2y

c) 14x^2y−21xy^2+28x^2y^2

d) 25x(y−1)−25y(y−1)

e) 10x(x−y)−8y(y−x)

Answer 1

`2x^2+ 5x - 3 `

`=2x^2 +6x -1x -3`

`=2x(x+3)-(x+3)`

`=(x+3)(2x-1)`
`5x(y + 1) – 2(y + 1) `

`=(y+1)(5x-2)`
`x^2 – 2xy + 5x – 10y`

`=(x^2 – 2xy) + (5x – 10y)`

`=x(x-2y)+5(x-2y)`

`=(x-2y)(x+5)`

`a) 3x−6y`

`=3(x-2y)`
`b) 25x^2+5x^3+x^2y`

`=x^2 (5x+25 +y)`
`c) 14x^2y−21xy^2+28x^2y^2`

`=7xy(2x-3y+4xy)`

`d) 25x(y−1)−25y(y−1)`

`=(y-1)(25x-25y)`

`=25(y-1)(x-y)`

`e) 10x(x−y)−8y(y−x)`

`=10x(x-y)-8y(x-y)`

`=(x-y)(10x-8y)`

`=2(x-y)(5x-4y)`