MyQuestionIcon

1

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

Algebraic Identities

Simplify: x...

Question

Simplify: $(x + y)^{2} \times (x - y)^{2} .$

Open in App

Solution

We need to simplify $(x + y)^{2} \times (x - y)^{2}$
Lets write $(x^{2} + 2 x y + y^{2}) (x^{2} - 2 x y + y^{2})$
$= x^{2} (x^{2} - 2 x y + y^{2}) + 2 x y (x^{2} - 2 x y + y^{2}) + y^{2} (x^{2} - 2 x y + y^{2})$
$= x^{4} - 2 x^{3} y + x^{2} y^{2} + 2 x^{3} y - 4 x^{2} y^{2} + 2 x y^{3} + x^{2} y^{2} - 2 x y^{3} + y^{4}$
$= x^{4} + y^{4} - 2 x^{2} y^{2}$

Suggest Corrections

thumbs-up

0

Similar questions

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

(x - y)^{2} - 7 (x^{2} - y^{2}) + 12 (x + y)^{2}

\frac{(x + y)^{2} - (x - y)^{2}}{x^{2} y - x y^{2}}

[\frac{x^{3} + y^{3}}{{(x - y)}^{2} + 3 x y}] \div [\frac{{(x + y)}^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

[\frac{x^{3} + y^{3}}{(x - y)^{2} + 3 x y}] + [\frac{(x + y)^{2} - 3 x y}{x^{3} - y^{3}}] \times \frac{x y}{x^{2} - y^{2}}

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Algebraic Identities

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Algebraic Identities

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon