Find the squares of the following algebraic expressions
(i) 2x + 3y
(ii) x + 2
(iii) 2x + 1
We know that (x + y)2 = x2 + y2 + 2xy
(i)
Square of 2x + 3y = (2x + 3y)2
= (2x)2 + (3y)2 + 2 × 2x × 3y
= 4x2 + 9y2 + 12xy
(ii)
Square of x + 2 = (x + 2)2
= (x)2 + (ii)2 + 2 × 2 × x
= x2 + 4 + 4x
(iii)
Square of 2x + 1 = (2x + 1)2
= (2x)2 + (i)2 + 2 × 2x × 1
= 4x2 + 1+ 4x