Question

Expand each of the following,using suitable identities: . (x+2xy+4xz)2​

Answer 1

Answer:

= x^2 + 4x^2y^2 + 16 x^2z^2 + 4x^2y +16x^2yz +8x^2z

Step-by-step explanation:

(x+2xy+4xz)2

Using (a+b+c)^2 =a^2 +b^2 +c^2 + 2ab + 2bc + 2 ca

here, a = x ,b = 2xy and c= 4xz

= (x)^2 + (2xy)^2 + (4xz)^2 + 2(x × 2xy) +2 (2xy × 4xz) + 2(4xz × x)

= x^2 + 4x^2y^2 + 16 x^2z^2 + 4x^2y +16x^2yz +8x^2z

Hope this is helpful for ypu