Question

8. Write (-3x + y + z)^2 in the expanded form:​

Answer 1

Answer:

We have,

(−3x + y + z)2 = [(−3x)2 + y2 + z2 + 2(−3x)y + 2yz + 2(−3x)z

[∵ (x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2xz]

9x2 + y2 + z2 − 6xy + 2yz − 6xz

(−3x + y + z)2 = 9x2 + y2 + z2 − 6xy + 2xy − 6xy