Question

Expand using the identity ( 2x + 3y)^2

Answer 1

Hi there!

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$( 2x + 3y)^2$

$= (2x + 3y) (2x + 3y)\\= (2x)(2x)+ (2x) (3y) + (3y)(2x) +(3y)(3y)\\=4x^2 + 6xy + 6xy + 9y^2\\= 4x^2 + 12xy + 9y^2$

Answer : $4x^2 + 12xy + 9y^2$

Hope this helped you!

Answer 2

Answer:

Identity used:

(a+b)²=a²+b²+2ab

Answer:

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

hope it helped you:)