Question

Find product of(1/2 x ka power3) (-10x) (1/2 x ka power 2) and verify the result for x=1

Answer 1

(x/2)^3*(x/2)^2*-10x
= (x/2)^5*-10x
=x^5/32*-10x
=x^5*x*-5/16
=-5x^6/16

if x=1
then answer is -5/16.

Answer 2

Hi ,

1 )( 1/2 x³ )( -10x ) ( 1/2x² )

= 1/2 × ( -10 ) ( 1/2 ) x³. x .x²

= ( - 5/2 ) x^3+1+2

= - 5/2 x^6

verification
_________

substitute x = 1

LhS = ( 1/2 × 1³ ) ( - 10 × 1 ) ( 1/2 × 1² )

= 1/2 ( -10 ) ( 1/2

= - 5/2

RHS = -5/2 × 1^6

= -5/2

Therefore ,

LHS = RHS

I hope this helps you.

:)