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Find the product of -1/2x 2 y 2 z and −4xz and verify the result for x​​​=2, y=3 and z=4

Find the product of -1/2x2y2z and −4xz and verify the result for x​​​=2, y=3 and z=4

Question Image
Grade:8

1 Answers

Suman Dash
26 Points
2 months ago
Product : -1/2[x2y2z][-4xz]
                = (-1/2)(-4)[x2.x.y2.z.z]
                = 2[x3.y2.z2]
 
Verifying for x = 2, y = 3 and z = 4
Solving LHS : 
   -1/2[(22)(32)(4)][(--4)(2)(4)]
= (2)[4×9×4][2×4]
= 72 × 32 = 2304     ........(i)
Solving RHS :
  2[(23)(32)(42)]
= 2×8×9×16
= 2304                     .........(ii)
 
From equations (i) & (ii), we can say LHS = RHS
Hence verified.

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