CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

(a + b)^2 Expansion and Visualisation

Factorize: x...

Question

Factorize:
$x^{2} + 4 x y - 4 z^{2} + 4 y^{2}$

Open in App

Solution

$x^{2} + 4 x y - 4 z^{2} + 4 y^{2}$
$= x^{2} + 4 x y + 4 y^{2} - 4 z^{2}$
$= x^{2} + 2. x .2 y + (2 y)^{2} - (2 z)^{2}$
$= (x + 2 y)^{2} - (2 z)^{2}$
$= (x + 2 y + 2 z) (x + 2 y - 2 z)$ .

Suggest Corrections

thumbs-up

1

Similar questions

Q. The expansion of (

x - y + 2 z)^{2}

x^{2} + 4 y^{2} - 9 z^{2} - 4 x y

4 x y - x^{2} - 4 y^{2} + z^{2}

.

Q. Factorize the equation

4 x y - x^{2} - 4 y^{2} + z^{2}

Q. Factorize each of the following algebraic expression:
9z² − x² + 4xy − 4y²

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

(a + b)^2 Expansion and Visualisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

(a + b)^2 Expansion and Visualisation

Standard VII Mathematics

Join BYJU'S Learning Program

CrossIcon