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Factorizing help

0 votes

Show step by step why/how the left side equals the right side.

 

asked Oct 31, 2014 in ALGEBRA 1 by anonymous

1 Answer

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Left hand side identity = sin2x - 6 sinx + 12

= sin2x - 6 sinx +  9 + 3

= sin2 x  - 6sinx + 9 + 3

= sin2 x  - 6sinx + 9 + 3

= sin2 x  - 2 (3) sinx + 32 + 3

{ Apply the formula (a - b)2 = a2 + b2 + 2ab, In this case a = sinx , b = 3.}

= (sinx - 3)2 + 3

= Right hand side identity.

answered Oct 31, 2014 by david Expert

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