Question

Expand the following by using suitable identities-
1) (x+2y+4z)square
2) (x+3y)square​

Answer 1

Answer:

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

2) x^2 + 6xy + 9y^2

Step-by-step explanation:

1) (x+2y+4z)^2

=(x)^2 +(2y)^2+(4z)^2-(x×2y)-(2y×4z)-(x×4z)

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

2)(x+3y)^2

=(x)^2 + (2×x×3y) + (3y)^2

= x^2 + 6xy + 9y^2