Question

expand using suitable identity (2x-4y+z)^2​

Answer 1

Step-by-step explanation:

(a+b+c) ^2=a^2+b^2+c^2+2ab+2bc+2ac

2x^2+4y^2+z^2+2(2x*-4y)+2(-4y*z)+2(z*2x)

4x^2+16y^2+z^2-16xy^2-8yz^2+4xz^2

Answer 2

Given :–

• An equation, (2x – 4y + z)²

Required :–

• Expand the given equation by using suitable identity.

Solution :–

We know that,

(a – b + c)² = a² + b² + c² – 2ab – 2bc + 2ac

So here,

The given values are,

• a = 2x
• b = 4y
• c = z

Put the values in the identity.

⟹ (2x)² + (4y)² + (z)² – 2(2x)(4y) – 2(4y)(z) + 2(2x)(z)

Now, open all the brackets after putting the values in the identity.

We obtain,

⟹ 4x² + 16y² + z² – 16xy – 8yz + 4xz

Hence,

The expanded term of the given equation is 4x² + 16y² + z² – 16xy – 8yz + 4xz