Question

(X^2 + y^2)^2 = 2(x^2 - y^2)

Answer 1

ANSWER

Let us multiply the given binomials (x

2

−y

2

) and (x+2y) as shown below:

(x

2

−y

2

)(x+2y)

=x

2

(x+2y)−y

2

(x+2y)

=(x

2

×x)+(x

2

×2y)−(y

2

×x)−(y

2

×2y)

=x

3

+2x

2

y−xy

2

−2y

3

Hence, (x

2

−y

2

)×(x+2y)=x

3

+2x

2

y−xy

2

−2y

3

.