CameraIcon

SearchIcon

MyQuestionIcon

128

You visited us 128 times! Enjoying our articles? Unlock Full Access!

Value of an Expression

Simplifyv x+y...

Question

Simplify

(v) $(x + y) (2 x + y) + (x + 2 y) (x - y)$

Open in App

Solution

Step : Simplify the expression
$(x + y) (2 x + y) + (x + 2 y) (x - y)$
$= x (2 x + y) + y (2 x + y) + x (x - y) + 2 y (x - y)$
$= 2 x^{2} + x y + 2 x y + y^{2} + x^{2} - x y + 2 x y - 2 y^{2}$
$= 3 x^{2} + 4 x y - y^{2}$

Suggest Corrections

thumbs-up

14

Similar questions

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

Find the value of $(x + y) (2 x + y) + (x + 2 y) (x - y)$ when $x = - 2$ and $y = - 1$

Simplify the following:

$(i) (1.5 x - 4 y) (1.5 x + 4 y + 3)$

$(i i) (x + y) (2 x + y) + (x + 2 y) (x - y)$

$(i i i) (a^{2} + 5) (b^{3} + 3) + 5$

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

Q. The value of

{(x - y)}^{3} + {(x + y)}^{3} + 3 {(x - y)}^{2} (x + y) + 3 {(x + y)}^{2} (x - y)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Value of an Expression

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon