Expand: (√3 - 2y+ 5z )^2.
Answers
Answered by
1
Answer:
Answer
Correct option is
B
9x
2
+4y
2
+25z
2
−12xy−20yz+30zx
We solve the given expression (3x−2y+5z)
2
as shown below:
(3x−2y+5z)
2
=(3x)
2
+(−2y)
2
+(5z)
2
+(2×3x×(−2y))+(2×(−2y)×5z)+(2×5z×3x)
(∵(a+b+c)
2
=a
2
+b
2
+c
2
+2ab+2bc+2ca)
=9x
2
+4y
2
+25z
2
−12xy−20yz+30zx
Hence, (3x−2y+5z)
2
=9x
2
+4y
2
+25z
2
−12xy−20yz+30zx.
Similar questions