Question

Factorise the following using appropriate identities: 4x² + 8xy + y^2

​

Answer 1

Step-by-step explanation:

We can rewrite as

4

(

x

2

+

2

x

y

+

y

2

)

The term in parentheses is a perfect square trinomial, therefore:

=

4

(

x

+

y

)

(

x

+

y

)

Or

=

4

(

x

+

y

)

2

Hopefully this helps!

Answer 2

Answer:

The question might be wrong...

I have done the expected answers.

$4x² + 8xy + 4y^2 \\ = (2x) ^2 + (2 \times 2x \times 2y) + (2y) ^{2} \\ = (2x + 2y)^{2}$