Question

Find the value: a) (x+y)(2y+3x)+(3x+y)(y+2x)
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Answer 1

Answer:

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

=(2xy+$3x^{2}$+2$y^{2}$+3xy)+(3xy+6$x^{2}$+$y^{2}$+2xy)

=(2$y^{2}$+3$x^{2}$+5xy)+(5xy+6$x^{2}$+$y^{2}$)

=3$y^{2}$+9$x^{2}$+10xy

Step-by-step explanation:

Answer 2

ANSWER

9x²+10xy+3y²

Step-by-step explanation:

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

=(2xy+3x^{2}3x

2

+2y^{2}y

2

+3xy)+(3xy+6x^{2}x

2

+y^{2}y

2

+2xy)

=(2y^{2}y

2

+3x^{2}x

2

+5xy)+(5xy+6x^{2}x

2

+y^{2}y

2

)

=3y^{2}y

2

+9x^{2}x

2

+10xy