Question

`(xy+ y)²`

`(y+y)²`

`(x+1/2)²`

`(x+5)²`

`(x+15)²`

Answer 1

  

Answer 2

`a) (xy + y )^2`

`= (xy)^2 +2xy . y +y^2`

`= x^2 y^2 +2xy^2 + y^2`

`b) ( y + y)^2`

`=y^2+2.y.y+y^2`

`=y^2+2y^2+y^2`

`=4y^2`

`c)`

`(x+1/2)^²`

`=x^2+2.x . 1/2+(1/2)^2`

`=x^2+x+1/4`

`d)`

`(x+5)^2`

`=x^2+2.x.5+5^2`

`=x^2+10x+25` 

`e)`

`(x+15)^2`

`=x^2+2.x.15^2`

`=x^2+30x+225`

Answer 3

(xy + y)² = (xy)² + 2.xy.y + y² = x²y² + 2xy² + y²

(y + y)² = (2y)² = 8y²

(x + 1/2)² = x² + 2.x.1/2 + (1/2)² = x² + x + 1/4

(x + 5)² = x² + 2.x.5 + 5² = x² + 10x + 25

(x + 15)² = x² + 2.x.15 + 15² = x² + 30x + 225