1.\(\left(x+2y\right)^2\)
\(=x^2+2.x.2y+\left(2y\right)^2\)
\(=x^2+4xy+4y^2\)
2.\(\left(a+3b\right)^2\)
\(=a^2+2.a.3b+\left(3b\right)^2\)
\(a^2+6ab+9b^2\)
3.\(\left(x+\dfrac{1}{4}\right)^2\)
\(=x^2+2.x.\dfrac{1}{4}+\left(\dfrac{1}{4}\right)^2\)
\(=x^2+\dfrac{1}{2}x+\dfrac{1}{16}\)
4.\(\left(\dfrac{3}{2}x+3y\right)^2\)
\(=\left(\dfrac{3}{2}x\right)^2+2.\dfrac{3}{2}x.3y+\left(3y\right)^2\)
\(=\dfrac{9}{4}x^2+9xy+9y^2\)
5.\(\left(x+y\right)^2\)
\(=x^2+2xy+y^2\)
`a, x^2 + 4y + 4y^2`
`b, a^2 + 6ab + 9b^2`
`c, x^2 + 1/2x + 1/16`
`d, 9/4x^2 + 9xy + 9y^2`
`e, x^2 + 2xy + y^2`