Question

Simplify:
(x+y)(2x+3y)+(x-y)(2x+3y)



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Answer 1

Answer:

$4 {x}^{2} + 6xy$

Step-by-step explanation:

$(x + y)(2x + 3y) + (x - y)(2x + 3y) \\( 2 {x}^{2} + 3xy + 2xy + 3 {y}^{2} ) + (2 {x}^{2} + 3xy - 2xy - 3 {y}^{2} ) \\ 2 {x}^{2} + 5xy + 3 {y}^{2} + 2 {x}^{2} + xy - 3 {y}^{2} \\ 4 {x}^{2} + 6xy$

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Answer 2

(x+y)(2x+3y)+(x-y)(2x+3y)

2x^2+3xy+2xy+3y^2+2x^2+3xy-2xy-3y^2

2x^2+2x^2+3xy+3xy

4x^2+6xy