Question

Expand the following:
(2x+3y)²:

Answer 1

Step-by-step explanation:

$(x + y) { }^{2} = {x}^{2} + 2xy + {y}^{2}$

$(2 x+ + 3y) {}^{2} = (2x) {}^{2} + 2(2x)(3y) + (3y) {}^{2} \\ \\ = 4 {x}^{2} + 12xy + 9 {y}^{2}$

Answer 2

using the identity

(a + b) ² = a² + 2ab + b²

(2x + 3y) ² = (2x) ² + ( 2 × 2x × 3y ) + (3y) ²

= 4x² + 12xy + 9y²

hope this helps u...